Details

analyze1.1s (10.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

570×	`exp-sum_binary64`
350×	`associate-r_binary64`
332×	`associate-l_binary64`
234×	`unsub-neg_binary64`
226×	`prod-exp_binary64`
220×	`exp-prod_binary64`
208×	`*-commutative_binary64`
188×	`+-commutative_binary64`
182×	`associate-+l+_binary64`
158×	`sub-neg_binary64`
156×	`associate-+r+_binary64`
144×	`exp-diff_binary64`
140×	`div-sub_binary64`
128×	`unswap-sqr_binary64`
104×	`sqr-pow_binary64`
84×	`distribute-lft-in_binary64`
70×	`distribute-rgt-in_binary64`
54×	`neg-mul-1_binary64`
52×	`pow-sqr_binary64`
46×	`neg-sub0_binary64`
30×	`log-prod_binary64`
28×	`exp-neg_binary64`
26×	`sub0-neg_binary64` `associate-+l-_binary64`
20×	`exp-to-pow_binary64` `associate-+r-_binary64`
18×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
12×	`rem-exp-log_binary64` `+-rgt-identity_binary64`
10×	`distribute-rgt-neg-in_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	448
1	254	448
2	577	448
3	1271	416
4	3767	416
5	4996	416
6	4999	416
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

Compiler

Compiled 19 to 18 computations (5.3% saved)

sample126.0ms (1.1%)

Algorithm

1×

intervals

Results

31.0ms	354×	body	128	nan
21.0ms	238×	body	128	valid
20.0ms	182×	body	128	invalid
3.0ms	9×	body	512	valid
2.0ms	3×	body	1024	invalid
2.0ms	5×	body	512	invalid
1.0ms	7×	body	256	valid
1.0ms	2×	body	1024	valid
1.0ms	3×	body	256	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

557×	`associate-/l*_binary64`
456×	`unswap-sqr_binary64`
365×	`*-commutative_binary64`
341×	`exp-sum_binary64`
317×	`associate-/r*_binary64`
176×	`associate-l_binary64`
158×	`exp-diff_binary64`
153×	`sub-neg_binary64`
152×	`associate-r_binary64`
146×	`distribute-rgt-in_binary64`
139×	`sqr-pow_binary64`
131×	`exp-prod_binary64`
124×	`div-sub_binary64`
122×	`distribute-lft-in_binary64`
108×	`associate-/l/_binary64`
93×	`cancel-sign-sub-inv_binary64`
80×	`associate-*l/_binary64`
78×	`distribute-neg-in_binary64`
72×	`associate-*r/_binary64`
71×	`neg-mul-1_binary64`
64×	`pow-sqr_binary64`
59×	`neg-sub0_binary64`
52×	`unsub-neg_binary64`
49×	`associate--r+_binary64` `associate-+l-_binary64`
48×	`associate-/r/_binary64`
41×	`distribute-lft-neg-out_binary64` `associate-+l+_binary64`
38×	`distribute-rgt-neg-out_binary64`
37×	`associate-+r+_binary64`
35×	`+-commutative_binary64`
33×	`sub0-neg_binary64`
31×	`distribute-lft-neg-in_binary64`
30×	`distribute-rgt-neg-in_binary64`
25×	`distribute-frac-neg_binary64`
22×	`*-rgt-identity_binary64`
21×	`*-lft-identity_binary64`
20×	`distribute-neg-out_binary64`
17×	`associate-+r-_binary64`
16×	`div-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `associate--r-_binary64`
13×	`log-prod_binary64`
12×	`remove-double-neg_binary64`
8×	`exp-to-pow_binary64` `cube-unmult_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64`
6×	`/-rgt-identity_binary64`
5×	`+-lft-identity_binary64` `associate--l+_binary64`
4×	`log-pow_binary64` `unpow3_binary64` `pow-plus_binary64` `cancel-sign-sub_binary64` `associate--l-_binary64`
3×	`mul0-rgt_binary64` `mul0-lft_binary64`
2×	`log-rec_binary64` `log-div_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `rem-exp-log_binary64` `distribute-neg-frac_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64`
1×	`rec-exp_binary64` `1-exp_binary64` `div0_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	28
1	33	28
2	68	28
3	146	26
4	366	26
5	1130	26
6	2557	26
7	4665	26
8	4948	26

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

1.3b

Counts

2 → 2

Compiler

Compiled 52 to 49 computations (5.8% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.5b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
5.1b	(log.f64 (-.f64 1 z))

rewrite215.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

33×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64`
30×	`log-prod_binary64`
24×	`distribute-rgt-in_binary64` `associate--l+_binary64` `distribute-lft-in_binary64`
20×	`add-cube-cbrt_binary64` `associate-+r+_binary64`
18×	`cancel-sign-sub-inv_binary64`
14×	`associate-+l+_binary64`
10×	`associate-*r/_binary64`
9×	`add-log-exp_binary64`
8×	`pow1_binary64`
7×	`difference-of-squares_binary64` `add-exp-log_binary64`
6×	`flip3--_binary64` `flip--_binary64` `add-cbrt-cube_binary64` `sub-neg_binary64` `associate-r_binary64`
5×	`distribute-lft-out--_binary64`
4×	`frac-add_binary64`
3×	`associate-l_binary64` `exp-prod_binary64`
2×	`log-pow_binary64` `log-div_binary64` `sum-log_binary64` `rem-exp-log_binary64`
1×	`rem-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `exp-sum_binary64`

Counts

4 → 116

Calls

4 calls:

15.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
10.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
4.0ms	(log.f64 (-.f64 1 z))

Compiler

Compiled 3042 to 1458 computations (52.1% saved)

series359.0ms (3.2%)

Error

0.0b

Counts

4 → 66

Calls

4 calls:

157.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
97.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
53.0ms	(*.f64 y (-.f64 (log.f64 z) t))
7.0ms	(log.f64 (-.f64 1 z))

Compiler

Compiled 4123 to 2969 computations (28% saved)

simplify146.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

545×	`cancel-sign-sub-inv_binary64`
343×	`associate-r_binary64`
319×	`associate-l_binary64`
251×	`*-commutative_binary64`
220×	`sub-neg_binary64`
190×	`unswap-sqr_binary64`
148×	`+-commutative_binary64`
144×	`distribute-rgt-in_binary64`
139×	`distribute-lft-in_binary64`
112×	`exp-sum_binary64`
102×	`exp-prod_binary64`
99×	`unsub-neg_binary64`
91×	`neg-sub0_binary64`
83×	`neg-mul-1_binary64`
81×	`associate-+r+_binary64`
77×	`sqr-pow_binary64`
74×	`associate-+l+_binary64`
48×	`distribute-rgt-neg-in_binary64`
47×	`associate--l+_binary64`
46×	`exp-diff_binary64`
44×	`associate--r+_binary64`
37×	`*-lft-identity_binary64`
34×	`distribute-lft-neg-in_binary64`
31×	`cube-prod_binary64`
29×	`-rgt-identity_binary64` `associate-r/_binary64`
28×	`log-prod_binary64`
25×	`swap-sqr_binary64`
24×	`distribute-neg-in_binary64` `associate-*l/_binary64`
17×	`prod-exp_binary64` `distribute-lft-neg-out_binary64`
16×	`associate-+l-_binary64`
15×	`associate-+r-_binary64`
13×	`distribute-rgt-out_binary64`
12×	`log-div_binary64`
11×	`unpow3_binary64` `difference-of-squares_binary64`
10×	`cube-mult_binary64` `remove-double-neg_binary64`
9×	`mul-1-neg_binary64`
8×	`exp-to-pow_binary64` `distribute-rgt-neg-out_binary64`
7×	`pow-sqr_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
6×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
5×	`exp-neg_binary64`
4×	`rem-sqrt-square_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64`
3×	`rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-div_binary64` `cube-neg_binary64` `sqr-neg_binary64` `div-sub_binary64` `+-rgt-identity_binary64` `count-2_binary64`
2×	`times-frac_binary64` `distribute-neg-frac_binary64` `associate-/r*_binary64` `associate--l-_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `distribute-lft-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64`

Counts

182 → 144

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	4598
1	930	4189
2	3444	4079
3	5166	4079

prune117.0ms (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	141	3	144
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	143	3	146

Error

0.0b

Counts

146 → 3

Compiler

Compiled 2621 to 1303 computations (50.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (-.f64 (neg.f64 z) b))
0.1b	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b))))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.5b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))

rewrite189.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
24×	`cancel-sign-sub-inv_binary64`
22×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
21×	`add-cube-cbrt_binary64`
14×	`associate-+l+_binary64`
12×	`associate-r/_binary64` `log-prod_binary64` `associate--l+_binary64` `associate-r*_binary64`
9×	`add-log-exp_binary64` `pow1_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sub-neg_binary64` `associate-+r+_binary64`
6×	`flip3--_binary64` `flip--_binary64` `associate-l_binary64`
4×	`frac-add_binary64` `distribute-lft-out--_binary64`
3×	`exp-prod_binary64`
2×	`sum-log_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `*-commutative_binary64` `rem-exp-log_binary64`
1×	`flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `log-pow_binary64` `exp-sum_binary64` `distribute-rgt-neg-in_binary64`

Counts

4 → 118

Calls

4 calls:

12.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))
10.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b))))
9.0ms	(*.f64 y (-.f64 (log.f64 z) t))
9.0ms	(*.f64 a (-.f64 (neg.f64 z) b))

Compiler

Compiled 2808 to 658 computations (76.6% saved)

series324.0ms (2.9%)

Error

0.0b

Counts

4 → 79

Calls

4 calls:

122.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))
81.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b))))
49.0ms	(*.f64 y (-.f64 (log.f64 z) t))
33.0ms	(*.f64 a (-.f64 (neg.f64 z) b))

Compiler

Compiled 3823 to 2464 computations (35.5% saved)

simplify135.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

516×	`cancel-sign-sub-inv_binary64`
401×	`associate-r_binary64`
365×	`associate-l_binary64`
270×	`*-commutative_binary64`
200×	`unswap-sqr_binary64`
171×	`sub-neg_binary64`
147×	`distribute-rgt-in_binary64`
141×	`distribute-lft-in_binary64`
135×	`+-commutative_binary64`
129×	`unsub-neg_binary64`
127×	`exp-prod_binary64`
114×	`neg-sub0_binary64`
102×	`neg-mul-1_binary64`
80×	`times-frac_binary64`
76×	`sqr-pow_binary64`
65×	`associate-+r+_binary64`
57×	`associate-+l+_binary64`
55×	`*-rgt-identity_binary64`
51×	`exp-sum_binary64`
47×	`distribute-rgt-neg-in_binary64`
46×	`*-lft-identity_binary64`
37×	`exp-diff_binary64` `cube-prod_binary64`
36×	`associate--r+_binary64`
35×	`distribute-rgt-neg-out_binary64`
34×	`distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
32×	`associate--l+_binary64`
31×	`log-prod_binary64` `swap-sqr_binary64`
27×	`distribute-neg-in_binary64`
22×	`associate-*l/_binary64`
20×	`associate-*r/_binary64`
15×	`prod-exp_binary64`
12×	`difference-of-squares_binary64` `distribute-rgt-out_binary64`
11×	`unpow3_binary64` `associate-+r-_binary64`
10×	`log-pow_binary64` `pow-sqr_binary64`
9×	`mul-1-neg_binary64`
8×	`log-div_binary64` `cube-mult_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64`
7×	`remove-double-neg_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `div-sub_binary64` `+-rgt-identity_binary64`
5×	`exp-neg_binary64`
4×	`cube-unmult_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64`
3×	`rem-log-exp_binary64` `cube-div_binary64` `cube-neg_binary64` `sqr-neg_binary64`
2×	`log-rec_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`
1×	`pow-plus_binary64` `exp-to-pow_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r*_binary64`

Counts

197 → 164

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	338	4000
1	909	3685
2	3378	3580
3	5061	3580

prune78.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	162	2	164
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	164	3	167

Error

0.0b

Counts

167 → 3

Compiler

Compiled 2087 to 585 computations (72% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(exp.f64 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 z b))))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.3b	(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 z b)))) 3))
0.5b	(-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 z b)))

rewrite228.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

86×	`associate--l+_binary64`
48×	`exp-sum_binary64`
44×	`cbrt-prod_binary64`
36×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
34×	`add-sqr-sqrt_binary64` `cancel-sign-sub-inv_binary64`
33×	`*-un-lft-identity_binary64`
30×	`add-cube-cbrt_binary64` `log-prod_binary64`
19×	`unpow-prod-down_binary64` `cube-prod_binary64`
14×	`sub-neg_binary64`
10×	`associate-*r/_binary64`
9×	`add-log-exp_binary64`
7×	`pow1_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-r_binary64`
4×	`flip3--_binary64` `frac-sub_binary64` `flip--_binary64`
3×	`associate-l_binary64` `exp-prod_binary64`
2×	`diff-log_binary64` `flip3-+_binary64` `flip-+_binary64` `associate--r+_binary64` `exp-diff_binary64` `distribute-lft-out--_binary64` `rem-exp-log_binary64`
1×	`pow1/3_binary64` `cube-div_binary64` `cbrt-div_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64` `rem-cbrt-cube_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `log-pow_binary64` `*-commutative_binary64`

Counts

4 → 152

Calls

4 calls:

15.0ms	(exp.f64 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 z b))))
12.0ms	(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 z b)))) 3))
9.0ms	(-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 z b)))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))

Compiler

Compiled 3651 to 1114 computations (69.5% saved)

series404.0ms (3.6%)

Error

0.0b

Counts

4 → 87

Calls

4 calls:

126.0ms	(-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 z b)))
87.0ms	(exp.f64 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 z b))))
78.0ms	(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 z b)))) 3))
54.0ms	(*.f64 y (-.f64 (log.f64 z) t))

Compiler

Compiled 5792 to 3380 computations (41.6% saved)

simplify234.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

324×	`associate-r_binary64`
291×	`associate-l_binary64`
261×	`unswap-sqr_binary64`
227×	`*-commutative_binary64`
209×	`times-frac_binary64`
190×	`sub-neg_binary64`
175×	`sqr-pow_binary64`
155×	`exp-prod_binary64`
124×	`distribute-rgt-in_binary64`
118×	`distribute-lft-in_binary64`
109×	`cancel-sign-sub-inv_binary64`
107×	`+-commutative_binary64`
90×	`neg-sub0_binary64`
85×	`unsub-neg_binary64`
84×	`neg-mul-1_binary64`
78×	`exp-sum_binary64`
66×	`log-pow_binary64`
63×	`exp-diff_binary64`
61×	`associate-+r+_binary64`
57×	`prod-exp_binary64`
53×	`associate-+l+_binary64`
47×	`distribute-rgt-neg-in_binary64`
44×	`unpow3_binary64`
43×	`associate--r+_binary64`
42×	`cube-mult_binary64`
41×	`cube-prod_binary64`
37×	`associate-*l/_binary64` `associate--l+_binary64`
35×	`associate-*r/_binary64`
33×	`*-rgt-identity_binary64` `distribute-neg-in_binary64`
32×	`distribute-lft-neg-in_binary64`
29×	`rem-cbrt-cube_binary64` `*-lft-identity_binary64` `pow-sqr_binary64`
25×	`log-prod_binary64`
18×	`distribute-lft-neg-out_binary64`
13×	`associate-+r-_binary64`
12×	`distribute-rgt-out_binary64`
11×	`cube-div_binary64` `difference-of-squares_binary64`
10×	`rem-sqrt-square_binary64`
9×	`distribute-rgt-neg-out_binary64`
8×	`exp-neg_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64`
7×	`distribute-lft-out_binary64` `associate-+l-_binary64`
6×	`log-div_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `swap-sqr_binary64`
5×	`rem-exp-log_binary64` `cube-unmult_binary64`
4×	`pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64`
3×	`rem-log-exp_binary64`
2×	`rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64` `count-2_binary64` `associate--l-_binary64`
1×	`log-rec_binary64` `div-exp_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cube-cbrt_binary64` `remove-double-neg_binary64` `distribute-neg-out_binary64` `associate-/l/_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r*_binary64`

Counts

239 → 203

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	6216
1	971	5738
2	3314	5692
3	5000	5692
4	5030	5692

prune109.0ms (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	202	1	203
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	203	3	206

Error

0.0b

Counts

206 → 3

Compiler

Compiled 2515 to 789 computations (68.6% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (pow.f64 (exp.f64 2) (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 z b)))))
0.5b	(cbrt.f64 (exp.f64 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 z b)))))
0.5b	(-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 z b)))
0.5b	(-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 z b)))

rewrite240.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

80×	`associate--l+_binary64`
43×	`cbrt-prod_binary64`
30×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
28×	`cancel-sign-sub-inv_binary64`
24×	`*-un-lft-identity_binary64` `log-prod_binary64`
23×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`associate-*r/_binary64` `exp-sum_binary64` `unpow-prod-up_binary64`
12×	`sub-neg_binary64`
8×	`add-log-exp_binary64` `frac-sub_binary64`
6×	`flip3--_binary64` `flip--_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `flip-+_binary64` `associate--r+_binary64` `unpow-prod-down_binary64`
2×	`diff-log_binary64` `pow1/3_binary64` `cbrt-div_binary64`
1×	`exp-diff_binary64` `pow-sub_binary64` `exp-lft-sqr_binary64` `sqr-pow_binary64`

Counts

4 → 125

Calls

4 calls:

11.0ms	(-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 z b)))
10.0ms	(-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 z b)))
9.0ms	(cbrt.f64 (exp.f64 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 z b)))))
7.0ms	(cbrt.f64 (pow.f64 (exp.f64 2) (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 z b)))))

Compiler

Compiled 5673 to 1378 computations (75.7% saved)

series905.0ms (8.1%)

Error

0.0b

Counts

4 → 104

Calls

4 calls:

286.0ms	(cbrt.f64 (pow.f64 (exp.f64 2) (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 z b)))))
225.0ms	(cbrt.f64 (exp.f64 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 z b)))))
142.0ms	(-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 z b)))
140.0ms	(-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (+.f64 z b)))

Compiler

Compiled 11252 to 6869 computations (39% saved)

simplify212.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

621×	`associate-r_binary64`
511×	`associate-l_binary64`
386×	`*-commutative_binary64`
147×	`cancel-sign-sub-inv_binary64`
136×	`exp-prod_binary64`
129×	`sqr-pow_binary64`
121×	`distribute-rgt-in_binary64`
114×	`distribute-lft-in_binary64`
99×	`associate-+r+_binary64`
94×	`sub-neg_binary64`
88×	`associate-+l+_binary64`
77×	`exp-sum_binary64`
68×	`associate--l+_binary64`
62×	`exp-diff_binary64`
60×	`associate--r+_binary64`
59×	`distribute-rgt-neg-in_binary64`
51×	`+-commutative_binary64`
47×	`distribute-lft-neg-in_binary64`
45×	`neg-sub0_binary64`
42×	`neg-mul-1_binary64`
39×	`distribute-neg-in_binary64` `distribute-rgt-out_binary64`
20×	`pow-sqr_binary64`
17×	`associate-/l*_binary64`
16×	`unpow1/3_binary64`
15×	`unswap-sqr_binary64` `distribute-lft-neg-out_binary64`
13×	`div-sub_binary64`
11×	`unpow3_binary64` `cube-mult_binary64` `associate-+r-_binary64`
9×	`exp-to-pow_binary64` `distribute-rgt-neg-out_binary64`
8×	`exp-neg_binary64` `distribute-lft-out_binary64`
7×	`unpow2_binary64` `distribute-rgt1-in_binary64`
6×	`unpow1/2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `mul-1-neg_binary64`
5×	`log-prod_binary64` `pow-base-1_binary64` `prod-exp_binary64` `difference-of-squares_binary64`
4×	`rem-exp-log_binary64` `cube-prod_binary64` `swap-sqr_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
3×	`log-pow_binary64` `cube-unmult_binary64` `rem-3cbrt-lft_binary64`
2×	`unsub-neg_binary64` `associate-/l/_binary64` `associate--l-_binary64`
1×	`log-rec_binary64` `log-div_binary64` `div-exp_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `pow-plus_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-lft-out--_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64`

Counts

229 → 197

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	518	7518
1	1334	6765
2	4740	6729
3	4969	6729

prune158.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	197	3	200

Error

0.0b

Counts

200 → 3

Compiler

Compiled 4698 to 1366 computations (70.9% saved)

regimes1.9s (16.7%)

Accuracy

Total 0.4b remaining (89.5%)

Threshold costs 0.4b (89.5%)

Compiler

Compiled 27131 to 23633 computations (12.9% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64` `+-commutative_binary64`
8×	`sub-neg_binary64`
7×	`neg-mul-1_binary64` `neg-sub0_binary64`
3×	`unsub-neg_binary64`
2×	`distribute-neg-out_binary64`
1×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	28	25
2	38	25
3	51	23
4	60	23
5	65	23
6	68	23
7	69	23
8	69	23

end1.0ms (0%)

Compiler: Compiled 15 to 14 computations (6.7% saved)

sample3.8s (34.1%)

Algorithm

1×

intervals

Results

978.0ms	10798×	body	128	nan
662.0ms	7349×	body	128	valid
490.0ms	5476×	body	128	invalid
92.0ms	277×	body	512	valid
68.0ms	116×	body	1024	valid
49.0ms	258×	body	256	valid
39.0ms	124×	body	512	invalid
33.0ms	59×	body	1024	invalid
24.0ms	126×	body	256	invalid

Compiler

Compiled 95 to 106 computations (-11.6% saved)

Details

analyze1.1s (10.3%)

sample126.0ms (1.1%)

simplify67.0ms (0.6%)

prune4.0ms (0%)

localize20.0ms (0.2%)

rewrite215.0ms (1.9%)

series359.0ms (3.2%)

simplify146.0ms (1.3%)

prune117.0ms (1%)

localize14.0ms (0.1%)

rewrite189.0ms (1.7%)

series324.0ms (2.9%)

simplify135.0ms (1.2%)

prune78.0ms (0.7%)

localize15.0ms (0.1%)

rewrite228.0ms (2.1%)

series404.0ms (3.6%)

simplify234.0ms (2.1%)

prune109.0ms (1%)

localize20.0ms (0.2%)

rewrite240.0ms (2.2%)

series905.0ms (8.1%)

simplify212.0ms (1.9%)

prune158.0ms (1.4%)

regimes1.9s (16.7%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end1.0ms (0%)

sample3.8s (34.1%)

Profiling