Details

analyze1.5s (9.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

784×	`sub-neg_binary64`
606×	`+-commutative_binary64`
487×	`div-sub_binary64`
368×	`associate-+l+_binary64`
325×	`neg-mul-1_binary64`
306×	`distribute-neg-in_binary64`
282×	`neg-sub0_binary64` `associate--l+_binary64`
214×	`associate-+r+_binary64`
180×	`associate--r+_binary64`
160×	`associate-+r-_binary64`
149×	`cancel-sign-sub-inv_binary64`
140×	`associate-/l*_binary64`
119×	`associate-+l-_binary64`
108×	`unsub-neg_binary64`
96×	`*-commutative_binary64`
67×	`+-rgt-identity_binary64`
66×	`distribute-neg-frac_binary64`
62×	`distribute-rgt-in_binary64`
56×	`associate-/r/_binary64`
50×	`distribute-lft-in_binary64`
46×	`distribute-rgt-neg-in_binary64` `associate-r_binary64`
43×	`sub0-neg_binary64`
36×	`distribute-lft-neg-in_binary64`
34×	`div0_binary64`
22×	`distribute-rgt-out--_binary64` `distribute-rgt-out_binary64`
10×	`distribute-lft-neg-out_binary64`
6×	`mul0-rgt_binary64` `mul0-lft_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` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_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` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_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--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	496
1	316	496
2	655	496
3	1608	496
4	3278	496
5	4497	496
6	4965	496
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%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
1.1%	98.6%	0.3%	12
1.9%	97.8%	0.3%	13
7%	92.7%	0.3%	14

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample28.0ms (0.2%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 43 to 39 computations (9.3% saved)

simplify96.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

789×	`sub-neg_binary64`
652×	`neg-mul-1_binary64`
499×	`div-sub_binary64`
495×	`cancel-sign-sub-inv_binary64`
478×	`associate-/l*_binary64`
430×	`distribute-neg-in_binary64`
337×	`unsub-neg_binary64`
335×	`distribute-rgt-in_binary64`
323×	`distribute-frac-neg_binary64`
245×	`neg-sub0_binary64`
226×	`associate--r-_binary64`
218×	`distribute-rgt-neg-in_binary64`
202×	`+-commutative_binary64`
200×	`associate--r+_binary64`
179×	`associate-/r*_binary64`
162×	`distribute-neg-frac_binary64`
160×	`distribute-rgt-neg-out_binary64`
157×	`distribute-lft-neg-in_binary64`
154×	`associate-+l+_binary64`
152×	`distribute-lft-in_binary64`
139×	`associate--l-_binary64`
137×	`*-commutative_binary64`
136×	`associate-/r/_binary64`
126×	`associate--l+_binary64`
124×	`remove-double-neg_binary64`
120×	`distribute-lft-neg-out_binary64`
119×	`associate-+r+_binary64`
117×	`associate-+l-_binary64`
85×	`associate-l_binary64`
77×	`associate-+r-_binary64`
75×	`cancel-sign-sub_binary64`
70×	`distribute-rgt-out_binary64`
66×	`associate-r_binary64`
49×	`distribute-neg-out_binary64` `distribute-rgt-out--_binary64`
46×	`sub0-neg_binary64`
42×	`div0_binary64`
36×	`+-rgt-identity_binary64`
27×	`mul0-rgt_binary64`
26×	`mul0-lft_binary64` `associate-/l/_binary64` `associate-*l/_binary64`
25×	`*-rgt-identity_binary64`
23×	`distribute-lft-out_binary64`
22×	`distribute-lft-out--_binary64`
19×	`/-rgt-identity_binary64`
17×	`*-lft-identity_binary64`
14×	`+-lft-identity_binary64`
3×	`--rgt-identity_binary64`
2×	`associate-*r/_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` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_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` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	36	31
2	77	31
3	169	31
4	381	31
5	751	31
6	1502	31
7	2652	31
8	3264	31
9	4095	31
10	4867	31
11	5141	31

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

25.2b

Counts

2 → 1

Compiler

Compiled 42 to 31 computations (26.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 t y) a)
1.6b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
2.2b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
23.5b	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

rewrite210.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

25.1b

Rules

38×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64`
15×	`times-frac_binary64`
13×	`distribute-lft-out_binary64`
11×	`add-log-exp_binary64`
10×	`associate-*l/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`pow1_binary64`
5×	`associate-/r*_binary64`
4×	`frac-add_binary64` `associate-l_binary64`
3×	`associate-/l_binary64` `associate-r*_binary64`
2×	`flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `associate-/r/_binary64` `sum-log_binary64` `diff-log_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `associate--l+_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 90

Calls

4 calls:

19.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
9.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
7.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
6.0ms	(*.f64 (+.f64 t y) a)

Compiler

Compiled 2870 to 404 computations (85.9% saved)

series567.0ms (3.5%)

Error

3.5b

Counts

4 → 128

Calls

4 calls:

263.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
108.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
76.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
28.0ms	(*.f64 (+.f64 t y) a)

Compiler

Compiled 9036 to 5291 computations (41.4% saved)

simplify196.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

561×	`times-frac_binary64`
420×	`associate-/l*_binary64`
263×	`associate-/r*_binary64`
227×	`distribute-rgt-in_binary64`
206×	`distribute-lft-in_binary64`
200×	`+-commutative_binary64`
148×	`associate-+r+_binary64`
119×	`sub-neg_binary64`
106×	`*-commutative_binary64`
103×	`associate-/r/_binary64`
62×	`distribute-neg-in_binary64`
55×	`cancel-sign-sub-inv_binary64`
39×	`neg-sub0_binary64` `sqr-pow_binary64`
38×	`div-sub_binary64`
37×	`associate-r_binary64`
36×	`neg-mul-1_binary64`
33×	`associate-*l/_binary64`
30×	`distribute-rgt-neg-in_binary64` `associate-*r/_binary64`
27×	`associate--l+_binary64`
24×	`exp-prod_binary64`
21×	`distribute-lft-neg-in_binary64`
18×	`exp-sum_binary64` `associate--r+_binary64`
17×	`associate-/l/_binary64`
14×	`unpow3_binary64` `cube-prod_binary64`
13×	`cube-mult_binary64` `associate-l_binary64`
8×	`cube-unmult_binary64` `swap-sqr_binary64` `distribute-lft-neg-out_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `difference-of-squares_binary64`
5×	`div-exp_binary64` `exp-diff_binary64` `cube-div_binary64` `/-rgt-identity_binary64` `distribute-rgt-out--_binary64`
4×	`log-div_binary64` `log-prod_binary64` `distribute-rgt-out_binary64`
3×	`mul-1-neg_binary64` `associate-+r-_binary64`
2×	`distribute-neg-frac_binary64` `associate-+l+_binary64`
1×	`log-pow_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `unsub-neg_binary64` `*-rgt-identity_binary64` `unswap-sqr_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` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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-square-sqrt_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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

218 → 190

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	569	8404
1	1767	8218
2	4907	8161
3	5029	8161

prune135.0ms (0.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	177	13	190
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	178	13	191

Error

4.7b

Counts

191 → 13

Compiler

Compiled 4840 to 1174 computations (75.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 y (+.f64 t x)))
1.6b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
2.2b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
23.6b	(.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (.f64 y b)) (/.f64 1 (+.f64 y (+.f64 t x))))

rewrite140.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

4.7b

Rules

60×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
31×	`add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64` `distribute-lft-out_binary64`
17×	`add-exp-log_binary64`
11×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
10×	`associate-*l/_binary64`
7×	`pow1_binary64` `flip3-+_binary64` `flip-+_binary64`
5×	`associate-/r*_binary64`
4×	`div-exp_binary64` `prod-exp_binary64` `associate-/r/_binary64` `frac-add_binary64`
3×	`flip3--_binary64` `flip--_binary64` `unswap-sqr_binary64` `associate-l_binary64` `associate-/l*_binary64`
2×	`1-exp_binary64` `rec-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `div-inv_binary64` `sum-log_binary64` `diff-log_binary64`
1×	`pow-prod-down_binary64` `un-div-inv_binary64` `associate-r/_binary64` `-commutative_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `associate--l+_binary64` `+-commutative_binary64` `inv-pow_binary64` `pow-flip_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 118

Calls

4 calls:

20.0ms	(.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (.f64 y b)) (/.f64 1 (+.f64 y (+.f64 t x))))
9.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
7.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
7.0ms	(/.f64 1 (+.f64 y (+.f64 t x)))

Compiler

Compiled 3759 to 743 computations (80.2% saved)

series592.0ms (3.7%)

Error

4.7b

Counts

4 → 137

Calls

4 calls:

251.0ms	(.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (.f64 y b)) (/.f64 1 (+.f64 y (+.f64 t x))))
108.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
77.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
67.0ms	(/.f64 1 (+.f64 y (+.f64 t x)))

Compiler

Compiled 10546 to 6332 computations (40% saved)

simplify166.0ms (1%)

Algorithm

1×	egg-herbie

Rules

574×	`times-frac_binary64`
431×	`associate-/l*_binary64`
285×	`associate-/r*_binary64`
223×	`distribute-rgt-in_binary64`
213×	`+-commutative_binary64`
206×	`distribute-lft-in_binary64`
153×	`associate-+r+_binary64`
135×	`sub-neg_binary64`
122×	`associate-/r/_binary64`
121×	`*-commutative_binary64`
68×	`distribute-neg-in_binary64`
55×	`cancel-sign-sub-inv_binary64`
45×	`neg-sub0_binary64`
42×	`neg-mul-1_binary64`
39×	`sqr-pow_binary64`
38×	`associate-r_binary64`
31×	`associate--l+_binary64`
29×	`distribute-rgt-neg-in_binary64` `associate-*r/_binary64`
23×	`associate--r+_binary64`
20×	`distribute-lft-neg-in_binary64`
15×	`associate-/l/_binary64` `associate-l_binary64`
13×	`unpow3_binary64` `cube-mult_binary64`
12×	`div-sub_binary64`
10×	`exp-prod_binary64` `swap-sqr_binary64`
9×	`distribute-lft-neg-out_binary64`
8×	`exp-sum_binary64` `*-rgt-identity_binary64`
6×	`unpow2_binary64` `unpow1_binary64` `cube-prod_binary64` `difference-of-squares_binary64`
5×	`distribute-neg-frac_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
4×	`cube-unmult_binary64` `distribute-rgt-out_binary64`
3×	`log-prod_binary64` `mul-1-neg_binary64`
2×	`log-div_binary64` `div-exp_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64`
1×	`log-rec_binary64` `prod-exp_binary64` `exp-diff_binary64` `1-exp_binary64` `-lft-identity_binary64` `+-rgt-identity_binary64` `distribute-lft-out_binary64` `associate-l/_binary64` `associate-+l+_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_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` `remove-double-neg_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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

255 → 210

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	617	9336
1	1886	9015
2	5063	9015

prune123.0ms (0.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	210	13	223

Error

4.7b

Counts

223 → 13

Compiler

Compiled 5270 to 1407 computations (73.3% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 (+.f64 y (+.f64 t x)) (+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (*.f64 y b)))))
1.8b	(-.f64 (.f64 a (+.f64 y t)) (.f64 y b))
2.7b	(+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (*.f64 y b)))
23.5b	(/.f64 (+.f64 y (+.f64 t x)) (+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (*.f64 y b))))

rewrite233.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

4.7b

Rules

156×	`*-un-lft-identity_binary64`
150×	`times-frac_binary64`
76×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
48×	`distribute-lft-out_binary64`
31×	`associate-/r/_binary64`
28×	`associate-/r*_binary64`
24×	`associate-*r/_binary64` `frac-add_binary64`
19×	`flip3-+_binary64` `flip-+_binary64`
17×	`add-exp-log_binary64`
13×	`flip3--_binary64` `flip--_binary64`
11×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
8×	`div-exp_binary64` `associate-/l*_binary64`
6×	`div-inv_binary64`
5×	`pow1_binary64`
4×	`cbrt-undiv_binary64` `associate-+r+_binary64` `associate--l+_binary64`
3×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64` `diff-log_binary64` `sum-log_binary64` `associate-+l+_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `1-exp_binary64` `rec-exp_binary64`
1×	`associate-+r-_binary64` `+-commutative_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 204

Calls

4 calls:

20.0ms	(/.f64 1 (/.f64 (+.f64 y (+.f64 t x)) (+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (*.f64 y b)))))
17.0ms	(/.f64 (+.f64 y (+.f64 t x)) (+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (*.f64 y b))))
11.0ms	(+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (*.f64 y b)))
6.0ms	(-.f64 (.f64 a (+.f64 y t)) (.f64 y b))

Compiler

Compiled 8537 to 1283 computations (85% saved)

series2.0s (12.6%)

Error

3.5b

Counts

4 → 144

Calls

4 calls:

1.5s	(/.f64 (+.f64 y (+.f64 t x)) (+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (*.f64 y b))))
256.0ms	(/.f64 1 (/.f64 (+.f64 y (+.f64 t x)) (+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (*.f64 y b)))))
108.0ms	(+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (*.f64 y b)))
56.0ms	(-.f64 (.f64 a (+.f64 y t)) (.f64 y b))

Compiler

Compiled 21953 to 12546 computations (42.9% saved)

simplify344.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

320×	`+-commutative_binary64`
300×	`distribute-rgt-in_binary64`
274×	`distribute-lft-in_binary64`
245×	`associate-+r+_binary64`
206×	`associate-/l*_binary64`
179×	`*-commutative_binary64`
165×	`sub-neg_binary64`
104×	`distribute-neg-in_binary64`
80×	`associate-/r*_binary64`
66×	`cancel-sign-sub-inv_binary64`
64×	`associate-r_binary64`
63×	`sqr-pow_binary64`
60×	`neg-sub0_binary64`
56×	`neg-mul-1_binary64`
53×	`times-frac_binary64`
48×	`associate-/r/_binary64`
41×	`associate-*r/_binary64`
35×	`associate--l+_binary64`
29×	`associate--r+_binary64`
27×	`distribute-rgt-neg-in_binary64`
18×	`distribute-lft-neg-in_binary64`
17×	`unpow2_binary64` `unpow1_binary64`
14×	`unpow3_binary64` `cube-mult_binary64`
13×	`unswap-sqr_binary64` `associate-l_binary64`
12×	`distribute-rgt-out_binary64`
11×	`distribute-neg-frac_binary64`
10×	`div-sub_binary64`
8×	`exp-prod_binary64`
7×	`exp-sum_binary64` `distribute-lft-neg-out_binary64`
6×	`/-rgt-identity_binary64` `swap-sqr_binary64` `associate-+r-_binary64`
5×	`log-div_binary64` `cube-prod_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `distribute-rgt-out--_binary64`
4×	`cube-unmult_binary64` `difference-of-squares_binary64`
3×	`remove-double-div_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`
2×	`log-rec_binary64` `log-prod_binary64` `prod-exp_binary64` `-rgt-identity_binary64` `associate-/l/_binary64` `associate-l/_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `*-lft-identity_binary64` `sub0-neg_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_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` `remove-double-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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

348 → 318

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1018	21282
1	3252	20823
2	5088	20823

prune242.0ms (1.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	315	3	318
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	317	14	331

Error

3.9b

Counts

331 → 14

Compiler

Compiled 11055 to 2654 computations (76% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

14.5b	(cbrt.f64 (*.f64 a (+.f64 y t)))
14.5b	(cbrt.f64 (*.f64 a (+.f64 y t)))
14.5b	(cbrt.f64 (*.f64 a (+.f64 y t)))
23.5b	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (.f64 (cbrt.f64 (.f64 a (+.f64 y t))) (cbrt.f64 (.f64 a (+.f64 y t)))) (cbrt.f64 (.f64 a (+.f64 y t))))) (*.f64 y b)) (+.f64 (+.f64 x t) y))

rewrite107.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

3.9b

Rules

34×	`*-un-lft-identity_binary64`
15×	`times-frac_binary64`
14×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`distribute-lft-out_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-*r/_binary64` `cbrt-div_binary64`
5×	`associate-/r*_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64`
3×	`associate-/l*_binary64` `pow1/3_binary64` `cbrt-prod_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 73

Calls

4 calls:

25.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (.f64 (cbrt.f64 (.f64 a (+.f64 y t))) (cbrt.f64 (.f64 a (+.f64 y t)))) (cbrt.f64 (.f64 a (+.f64 y t))))) (*.f64 y b)) (+.f64 (+.f64 x t) y))
4.0ms	(cbrt.f64 (*.f64 a (+.f64 y t)))
4.0ms	(cbrt.f64 (*.f64 a (+.f64 y t)))
4.0ms	(cbrt.f64 (*.f64 a (+.f64 y t)))

Compiler

Compiled 3515 to 356 computations (89.9% saved)

series545.0ms (3.4%)

Error

3.9b

Counts

4 → 89

Calls

4 calls:

276.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (.f64 (cbrt.f64 (.f64 a (+.f64 y t))) (cbrt.f64 (.f64 a (+.f64 y t)))) (cbrt.f64 (.f64 a (+.f64 y t))))) (*.f64 y b)) (+.f64 (+.f64 x t) y))
62.0ms	(cbrt.f64 (*.f64 a (+.f64 y t)))
60.0ms	(cbrt.f64 (*.f64 a (+.f64 y t)))
59.0ms	(cbrt.f64 (*.f64 a (+.f64 y t)))

Compiler

Compiled 11503 to 6442 computations (44% saved)

simplify179.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

541×	`times-frac_binary64`
428×	`associate-/l*_binary64`
253×	`associate-/r*_binary64`
187×	`+-commutative_binary64`
166×	`associate--l+_binary64`
163×	`associate-r_binary64`
138×	`associate-+r+_binary64`
134×	`distribute-rgt-in_binary64`
124×	`distribute-lft-in_binary64`
122×	`associate-l_binary64`
113×	`sub-neg_binary64`
107×	`associate-/r/_binary64`
102×	`*-commutative_binary64`
60×	`distribute-neg-in_binary64`
42×	`associate-*l/_binary64`
41×	`neg-sub0_binary64`
39×	`sqr-pow_binary64`
38×	`associate-*r/_binary64`
37×	`neg-mul-1_binary64`
30×	`cancel-sign-sub-inv_binary64`
19×	`exp-prod_binary64` `div-sub_binary64`
18×	`associate--r+_binary64`
17×	`associate-/l/_binary64`
9×	`log-div_binary64` `unpow1/3_binary64`
7×	`unpow3_binary64` `exp-diff_binary64` `cube-mult_binary64` `associate--r-_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-out_binary64`
5×	`log-prod_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64`
4×	`cube-unmult_binary64` `distribute-neg-frac_binary64`
3×	`log-pow_binary64` `log-rec_binary64` `remove-double-neg_binary64`
2×	`exp-to-pow_binary64` `exp-sum_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64`
1×	`1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `unsub-neg_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` `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` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `-rgt-identity_binary64` `-lft-identity_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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

162 → 128

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	558	7507
1	1692	7329
2	4953	7272
3	4979	7272

prune98.0ms (0.6%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	128	14	142

Error

3.9b

Counts

142 → 14

Compiler

Compiled 5167 to 1224 computations (76.3% saved)

regimes7.5s (46.1%)

Accuracy

Total 2.4b remaining (32.3%)

Threshold costs 0b (0%)

Compiler

Compiled 47782 to 33217 computations (30.5% saved)

bsearch12.0ms (0.1%)

Compiler: Compiled 21 to 16 computations (23.8% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

17×	`+-commutative_binary64`
11×	`*-commutative_binary64`
7×	`sub-neg_binary64`
4×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
1×	`if-if-or-not_binary64` `distribute-neg-frac_binary64` `distribute-lft-neg-out_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_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` `unsub-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_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	154
1	69	154
2	85	154
3	93	154
4	97	154
5	97	154

end1.0ms (0%)

Compiler: Compiled 103 to 39 computations (62.1% saved)

sample1.1s (6.7%)

Algorithm

1×

intervals

Results

436.0ms	7998×	body	128	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 509 to 329 computations (35.4% saved)

Details

analyze1.5s (9.2%)

sample28.0ms (0.2%)

simplify96.0ms (0.6%)

prune2.0ms (0%)

localize14.0ms (0.1%)

rewrite210.0ms (1.3%)

series567.0ms (3.5%)

simplify196.0ms (1.2%)

prune135.0ms (0.8%)

localize15.0ms (0.1%)

rewrite140.0ms (0.9%)

series592.0ms (3.7%)

simplify166.0ms (1%)

prune123.0ms (0.8%)

localize19.0ms (0.1%)

rewrite233.0ms (1.4%)

series2.0s (12.6%)

simplify344.0ms (2.1%)

prune242.0ms (1.5%)

localize22.0ms (0.1%)

rewrite107.0ms (0.7%)

series545.0ms (3.4%)

simplify179.0ms (1.1%)

prune98.0ms (0.6%)

regimes7.5s (46.1%)

bsearch12.0ms (0.1%)

simplify7.0ms (0%)

end1.0ms (0%)

sample1.1s (6.7%)

Profiling