Details

analyze104.0ms (2.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

801×	`associate-/l*_binary64`
548×	`unswap-sqr_binary64`
536×	`div-sub_binary64`
451×	`associate-/r*_binary64`
284×	`cancel-sign-sub-inv_binary64`
275×	`associate-/r/_binary64`
263×	`associate-/l/_binary64`
198×	`associate-l_binary64`
182×	`distribute-rgt-neg-in_binary64`
167×	`distribute-rgt-in_binary64`
145×	`associate-r_binary64`
133×	`unsub-neg_binary64` `distribute-lft-neg-in_binary64`
126×	`neg-sub0_binary64`
124×	`neg-mul-1_binary64`
101×	`*-commutative_binary64`
98×	`cube-prod_binary64`
89×	`distribute-lft-in_binary64`
68×	`distribute-rgt-neg-out_binary64`
66×	`associate-*r/_binary64`
61×	`distribute-lft-neg-out_binary64`
57×	`sub-neg_binary64`
54×	`exp-prod_binary64`
46×	`associate-*l/_binary64`
41×	`sqr-pow_binary64`
40×	`associate--r+_binary64`
37×	`distribute-neg-in_binary64`
30×	`pow-plus_binary64`
27×	`unpow3_binary64`
23×	`exp-sum_binary64`
20×	`*-lft-identity_binary64` `swap-sqr_binary64`
19×	`distribute-neg-frac_binary64`
18×	`remove-double-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-commutative_binary64`
17×	`pow-sqr_binary64`
16×	`associate--l+_binary64`
15×	`exp-sqrt_binary64` `associate--r-_binary64`
14×	`cube-mult_binary64`
13×	`prod-exp_binary64`
12×	`cube-unmult_binary64` `associate-+l-_binary64`
11×	`exp-diff_binary64` `*-rgt-identity_binary64`
7×	`exp-lft-sqr_binary64`
6×	`sub0-neg_binary64`
4×	`unpow2_binary64` `rec-exp_binary64` `associate--l-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
3×	`distribute-rgt-out--_binary64`
2×	`cube-neg_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `remove-double-div_binary64` `associate-+r-_binary64`
1×	`unpow1/2_binary64` `unpow1_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-rgt-identity_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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_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` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	20	13
2	35	13
3	57	13
4	102	13
5	198	13
6	389	13
7	738	13
8	1255	13
9	3975	13
10	4882	13
11	4992	13
12	4809	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample94.0ms (1.9%)

Algorithm

1×

intervals

Results

67.0ms	139×	body	2048	valid
14.0ms	63×	body	1024	valid
3.0ms	23×	body	512	valid
1.0ms	19×	body	256	valid
0.0ms	12×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify89.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

801×	`associate-/l*_binary64`
548×	`unswap-sqr_binary64`
536×	`div-sub_binary64`
451×	`associate-/r*_binary64`
284×	`cancel-sign-sub-inv_binary64`
275×	`associate-/r/_binary64`
263×	`associate-/l/_binary64`
198×	`associate-l_binary64`
182×	`distribute-rgt-neg-in_binary64`
167×	`distribute-rgt-in_binary64`
145×	`associate-r_binary64`
133×	`unsub-neg_binary64` `distribute-lft-neg-in_binary64`
126×	`neg-sub0_binary64`
124×	`neg-mul-1_binary64`
101×	`*-commutative_binary64`
98×	`cube-prod_binary64`
89×	`distribute-lft-in_binary64`
68×	`distribute-rgt-neg-out_binary64`
66×	`associate-*r/_binary64`
61×	`distribute-lft-neg-out_binary64`
57×	`sub-neg_binary64`
54×	`exp-prod_binary64`
46×	`associate-*l/_binary64`
41×	`sqr-pow_binary64`
40×	`associate--r+_binary64`
37×	`distribute-neg-in_binary64`
30×	`pow-plus_binary64`
27×	`unpow3_binary64`
23×	`exp-sum_binary64`
20×	`*-lft-identity_binary64` `swap-sqr_binary64`
19×	`distribute-neg-frac_binary64`
18×	`remove-double-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-commutative_binary64`
17×	`pow-sqr_binary64`
16×	`associate--l+_binary64`
15×	`exp-sqrt_binary64` `associate--r-_binary64`
14×	`cube-mult_binary64`
13×	`prod-exp_binary64`
12×	`cube-unmult_binary64` `associate-+l-_binary64`
11×	`exp-diff_binary64` `*-rgt-identity_binary64`
7×	`exp-lft-sqr_binary64`
6×	`sub0-neg_binary64`
4×	`unpow2_binary64` `rec-exp_binary64` `associate--l-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
3×	`distribute-rgt-out--_binary64`
2×	`cube-neg_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `remove-double-div_binary64` `associate-+r-_binary64`
1×	`unpow1/2_binary64` `unpow1_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-rgt-identity_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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_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` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	20	13
2	35	13
3	57	13
4	102	13
5	198	13
6	389	13
7	738	13
8	1255	13
9	3975	13
10	4882	13
11	4992	13
12	4809	13

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

28.7b

Counts

1 → 1

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (exp.f64 x) 2)
4.0b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

rewrite71.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

28.6b

Rules

11×	`*-un-lft-identity_binary64`
9×	`add-log-exp_binary64`
6×	`add-sqr-sqrt_binary64` `cancel-sign-sub-inv_binary64`
4×	`add-cube-cbrt_binary64` `frac-add_binary64` `associate-+l+_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`diff-log_binary64` `sum-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `neg-sub0_binary64` `exp-diff_binary64` `exp-neg_binary64` `distribute-lft-out_binary64` `distribute-lft-out--_binary64` `sub-neg_binary64`
1×	`flip3-+_binary64` `flip-+_binary64` `associate-+l-_binary64` `+-commutative_binary64` `difference-of-squares_binary64`

Counts

2 → 39

Calls

2 calls:

8.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
4.0ms	(-.f64 (exp.f64 x) 2)

Compiler

Compiled 633 to 334 computations (47.2% saved)

series29.0ms (0.6%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

9.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
9.0ms	(-.f64 (exp.f64 x) 2)

Compiler

Compiled 275 to 218 computations (20.7% saved)

simplify99.0ms (2%)

Algorithm

1×	egg-herbie

Rules

904×	`times-frac_binary64`
613×	`associate-+r+_binary64`
319×	`*-commutative_binary64`
214×	`unsub-neg_binary64`
199×	`+-commutative_binary64`
172×	`distribute-rgt-in_binary64`
162×	`distribute-lft-in_binary64`
149×	`div-sub_binary64`
145×	`distribute-rgt-out_binary64`
112×	`associate-l_binary64`
108×	`associate-r_binary64`
106×	`unswap-sqr_binary64`
103×	`cancel-sign-sub-inv_binary64`
102×	`exp-prod_binary64`
97×	`distribute-lft-out_binary64`
90×	`associate-+l+_binary64`
82×	`sub-neg_binary64`
68×	`neg-mul-1_binary64`
67×	`neg-sub0_binary64`
61×	`exp-sum_binary64`
60×	`associate-/l*_binary64`
54×	`associate-*l/_binary64`
51×	`associate--r+_binary64`
50×	`associate-+l-_binary64`
46×	`associate-/r*_binary64`
44×	`associate--l+_binary64`
42×	`associate-*r/_binary64`
41×	`sqr-pow_binary64`
37×	`cube-prod_binary64`
31×	`distribute-rgt-neg-in_binary64`
29×	`distribute-neg-in_binary64`
28×	`exp-diff_binary64`
27×	`distribute-lft-neg-out_binary64`
26×	`distribute-lft-neg-in_binary64`
25×	`associate-+r-_binary64`
23×	`*-rgt-identity_binary64`
22×	`log-prod_binary64` `distribute-rgt-neg-out_binary64`
20×	`*-lft-identity_binary64`
19×	`pow-plus_binary64`
16×	`prod-exp_binary64` `cube-unmult_binary64`
14×	`distribute-rgt1-in_binary64`
12×	`associate--r-_binary64`
11×	`distribute-rgt-out--_binary64`
9×	`unpow3_binary64` `sub0-neg_binary64` `pow-sqr_binary64`
8×	`div-exp_binary64` `distribute-neg-frac_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64`
7×	`+-rgt-identity_binary64`
6×	`log-div_binary64` `swap-sqr_binary64`
5×	`associate-/l/_binary64` `associate-/r/_binary64`
4×	`rec-exp_binary64` `exp-neg_binary64` `cube-mult_binary64` `difference-of-squares_binary64`
3×	`rem-sqrt-square_binary64` `difference-of-sqr-1_binary64` `distribute-neg-out_binary64` `count-2_binary64`
2×	`cube-neg_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_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` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64`

Counts

51 → 36

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	810
1	251	764
2	599	744
3	1684	726
4	3254	726
5	4959	726
6	4844	726

prune29.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	3	37

Error

Counts

37 → 3

Compiler

Compiled 431 to 234 computations (45.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
0.0b	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))
0.1b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))

rewrite117.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`add-sqr-sqrt_binary64`
14×	`add-exp-log_binary64` `associate-r_binary64`
11×	`add-log-exp_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
8×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
6×	`prod-exp_binary64` `unswap-sqr_binary64` `associate-l_binary64`
4×	`pow1_binary64` `sqr-pow_binary64` `sum-log_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`
1×	`associate-+r+_binary64`

Counts

4 → 74

Calls

4 calls:

7.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
5.0ms	(*.f64 1/360 (pow.f64 x 6))
5.0ms	(*.f64 1/12 (pow.f64 x 4))
4.0ms	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))

Compiler

Compiled 1680 to 1212 computations (27.9% saved)

series79.0ms (1.6%)

Error

Counts

4 → 21

Calls

4 calls:

31.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
19.0ms	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))
11.0ms	(*.f64 1/12 (pow.f64 x 4))
10.0ms	(*.f64 1/360 (pow.f64 x 6))

Compiler

Compiled 522 to 422 computations (19.2% saved)

simplify111.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

778×	`unswap-sqr_binary64`
407×	`*-commutative_binary64`
287×	`distribute-rgt-in_binary64`
249×	`distribute-lft-in_binary64`
245×	`log-prod_binary64`
198×	`cancel-sign-sub-inv_binary64`
141×	`associate-r_binary64`
132×	`distribute-rgt-neg-in_binary64`
130×	`associate-l_binary64`
124×	`distribute-lft-neg-in_binary64`
122×	`sub-neg_binary64` `sqr-pow_binary64`
111×	`exp-prod_binary64`
97×	`distribute-rgt-out_binary64`
94×	`cube-prod_binary64`
82×	`associate-+l+_binary64`
72×	`neg-mul-1_binary64` `neg-sub0_binary64`
71×	`associate-+r+_binary64`
43×	`unsub-neg_binary64`
40×	`+-commutative_binary64`
38×	`log-pow_binary64`
34×	`distribute-rgt-out--_binary64`
31×	`swap-sqr_binary64`
24×	`unpow3_binary64`
22×	`pow-sqr_binary64`
20×	`cube-mult_binary64`
19×	`associate--l+_binary64` `associate--r+_binary64`
18×	`pow-plus_binary64` `associate-/l*_binary64`
17×	`difference-of-squares_binary64` `associate-+r-_binary64`
16×	`distribute-neg-in_binary64`
14×	`+-rgt-identity_binary64` `distribute-lft-neg-out_binary64` `associate-+l-_binary64`
13×	`distribute-lft-out_binary64`
10×	`rem-sqrt-square_binary64`
8×	`cube-unmult_binary64` `sub0-neg_binary64`
6×	`distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64`
5×	`prod-exp_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-sum_binary64` `distribute-rgt1-in_binary64` `count-2_binary64`
1×	`1-exp_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `distribute-lft1-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` `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` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_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` `div-exp_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` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `div-sub_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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

95 → 52

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	1450
1	329	1393
2	1073	1352
3	2940	1349
4	4837	1349
5	5040	1349

prune43.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	52	3	55

Error

Counts

55 → 3

Compiler

Compiled 756 to 535 computations (29.2% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3))))
0.0b	(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
0.1b	(pow.f64 (exp.f64 x) 3)
4.5b	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))

rewrite121.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64`
9×	`pow1_binary64` `add-cbrt-cube_binary64`
8×	`associate-r_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`pow-pow_binary64` `associate-*r/_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `unpow-prod-down_binary64` `pow-unpow_binary64` `exp-prod_binary64` `cube-prod_binary64` `distribute-lft-out_binary64`
2×	`associate-+r+_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64` `rem-cube-cbrt_binary64` `sqr-pow_binary64`

Counts

4 → 85

Calls

4 calls:

13.0ms	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3))))
6.0ms	(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
3.0ms	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))
3.0ms	(pow.f64 (exp.f64 x) 3)

Compiler

Compiled 2780 to 1582 computations (43.1% saved)

series87.0ms (1.8%)

Error

Counts

4 → 24

Calls

4 calls:

21.0ms	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))
16.0ms	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3))))
15.0ms	(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
11.0ms	(pow.f64 (exp.f64 x) 3)

Compiler

Compiled 1416 to 962 computations (32.1% saved)

simplify116.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

736×	`unswap-sqr_binary64`
364×	`associate-l_binary64`
296×	`associate-r_binary64`
253×	`cancel-sign-sub-inv_binary64`
243×	`log-prod_binary64`
186×	`distribute-rgt-in_binary64`
178×	`distribute-lft-in_binary64`
164×	`exp-prod_binary64`
107×	`*-commutative_binary64`
81×	`cube-prod_binary64`
70×	`sqr-pow_binary64` `+-commutative_binary64`
47×	`exp-sum_binary64`
43×	`swap-sqr_binary64`
41×	`sub-neg_binary64`
36×	`associate-+r+_binary64`
35×	`associate-+l+_binary64`
28×	`log-pow_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`
25×	`*-lft-identity_binary64`
24×	`distribute-rgt-neg-in_binary64`
22×	`*-rgt-identity_binary64`
19×	`distribute-lft-neg-in_binary64`
16×	`difference-of-squares_binary64` `associate--l+_binary64`
13×	`prod-exp_binary64` `pow-sqr_binary64`
11×	`unpow3_binary64`
10×	`pow-plus_binary64` `cube-unmult_binary64` `rem-sqrt-square_binary64`
9×	`cube-mult_binary64` `unsub-neg_binary64`
6×	`distribute-neg-in_binary64`
5×	`associate--r+_binary64`
4×	`distribute-lft-neg-out_binary64`
3×	`distribute-rgt-out_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-diff_binary64` `distribute-rgt-out--_binary64`
1×	`exp-lft-sqr_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l*_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` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

109 → 76

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	2052
1	509	1919
2	2423	1907
3	4780	1907
4	4970	1907

prune64.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Error

Counts

79 → 3

Compiler

Compiled 1916 to 1127 computations (41.2% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 (+.f64 2 (pow.f64 (exp.f64 x) 3)) (.f64 (exp.f64 x) -3)) (.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
0.0b	(*.f64 (exp.f64 x) -3)
0.1b	(pow.f64 (exp.f64 x) 3)
3.3b	(+.f64 (+.f64 2 (pow.f64 (exp.f64 x) 3)) (*.f64 (exp.f64 x) -3))

rewrite125.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64`
12×	`add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`add-log-exp_binary64` `add-exp-log_binary64`
7×	`pow1_binary64`
4×	`pow-pow_binary64`
3×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `unpow-prod-down_binary64` `pow-unpow_binary64` `exp-prod_binary64` `cube-prod_binary64` `associate-l_binary64` `associate-r_binary64` `times-frac_binary64` `associate-/l*_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64` `associate-*r/_binary64` `associate-/r/_binary64`
1×	`associate-+l+_binary64` `+-commutative_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64` `rem-cube-cbrt_binary64` `sqr-pow_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r_binary64`

Counts

4 → 82

Calls

4 calls:

14.0ms	(/.f64 (+.f64 (+.f64 2 (pow.f64 (exp.f64 x) 3)) (.f64 (exp.f64 x) -3)) (.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
8.0ms	(+.f64 (+.f64 2 (pow.f64 (exp.f64 x) 3)) (*.f64 (exp.f64 x) -3))
5.0ms	(*.f64 (exp.f64 x) -3)
3.0ms	(pow.f64 (exp.f64 x) 3)

Compiler

Compiled 2149 to 1319 computations (38.6% saved)

series83.0ms (1.7%)

Error

Counts

4 → 24

Calls

4 calls:

24.0ms	(/.f64 (+.f64 (+.f64 2 (pow.f64 (exp.f64 x) 3)) (.f64 (exp.f64 x) -3)) (.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
15.0ms	(+.f64 (+.f64 2 (pow.f64 (exp.f64 x) 3)) (*.f64 (exp.f64 x) -3))
12.0ms	(pow.f64 (exp.f64 x) 3)
9.0ms	(*.f64 (exp.f64 x) -3)

Compiler

Compiled 1034 to 744 computations (28% saved)

simplify104.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

548×	`unswap-sqr_binary64`
300×	`log-prod_binary64`
292×	`cancel-sign-sub-inv_binary64`
244×	`associate-l_binary64`
197×	`associate-r_binary64`
151×	`distribute-rgt-neg-in_binary64`
134×	`distribute-lft-neg-in_binary64`
120×	`distribute-rgt-in_binary64`
110×	`distribute-lft-in_binary64`
101×	`exp-prod_binary64`
82×	`*-commutative_binary64`
79×	`distribute-rgt-out_binary64`
74×	`associate-/r*_binary64`
67×	`cube-prod_binary64`
65×	`distribute-neg-in_binary64`
61×	`unpow3_binary64` `sqr-pow_binary64`
56×	`associate-/l*_binary64`
52×	`+-commutative_binary64`
51×	`times-frac_binary64`
50×	`sub-neg_binary64`
48×	`div-sub_binary64`
46×	`swap-sqr_binary64`
41×	`distribute-lft-neg-out_binary64` `associate-+r+_binary64`
37×	`neg-mul-1_binary64` `neg-sub0_binary64`
34×	`associate-+l+_binary64`
33×	`distribute-rgt-out--_binary64`
31×	`distribute-rgt-neg-out_binary64`
27×	`log-div_binary64`
26×	`log-pow_binary64`
18×	`unsub-neg_binary64`
16×	`*-lft-identity_binary64`
15×	`prod-exp_binary64` `associate-*l/_binary64` `associate--r+_binary64`
14×	`*-rgt-identity_binary64`
13×	`associate-*r/_binary64`
12×	`exp-sum_binary64`
11×	`cube-unmult_binary64`
10×	`rem-sqrt-square_binary64` `pow-sqr_binary64`
9×	`pow-plus_binary64`
8×	`cube-div_binary64`
7×	`cube-mult_binary64` `/-rgt-identity_binary64`
6×	`distribute-frac-neg_binary64` `associate-/r/_binary64` `associate--l+_binary64`
5×	`exp-diff_binary64` `distribute-neg-frac_binary64`
4×	`distribute-rgt1-in_binary64`
2×	`unpow1/2_binary64` `unpow1_binary64` `exp-lft-cube_binary64`
1×	`unpow2_binary64` `div-exp_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64` `count-2_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` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `mul-1-neg_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` `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-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

106 → 77

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	2150
1	494	1910
2	2280	1864
3	4621	1864
4	4921	1864

prune63.0ms (1.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	77	3	80

Error

Counts

80 → 3

Compiler

Compiled 1420 to 886 computations (37.6% saved)

regimes147.0ms (3%)

Accuracy

Total 0.0b remaining (35.1%)

Threshold costs 0.0b (35.1%)

Compiler

Compiled 1935 to 1428 computations (26.2% saved)

bsearch2.0ms (0%)

Compiler: Compiled 8 to 7 computations (12.5% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
7×	`*-commutative_binary64`
3×	`sub-neg_binary64`
1×	`1-exp_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `*-rgt-identity_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` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_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-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	101
1	62	101
2	66	101
3	67	101
4	62	101

end2.0ms (0%)

Compiler: Compiled 64 to 40 computations (37.5% saved)

sample3.1s (62.5%)

Algorithm

1×

intervals

Results

2.1s	4163×	body	2048	valid
424.0ms	1965×	body	1024	valid
114.0ms	1009×	body	512	valid
38.0ms	516×	body	256	valid
16.0ms	347×	body	128	valid

Compiler

Compiled 145 to 105 computations (27.6% saved)

Details

analyze104.0ms (2.1%)

sample94.0ms (1.9%)

simplify89.0ms (1.8%)

prune1.0ms (0%)

localize9.0ms (0.2%)

rewrite71.0ms (1.5%)

series29.0ms (0.6%)

simplify99.0ms (2%)

prune29.0ms (0.6%)

localize10.0ms (0.2%)

rewrite117.0ms (2.4%)

series79.0ms (1.6%)

simplify111.0ms (2.3%)

prune43.0ms (0.9%)

localize17.0ms (0.3%)

rewrite121.0ms (2.5%)

series87.0ms (1.8%)

simplify116.0ms (2.4%)

prune64.0ms (1.3%)

localize12.0ms (0.3%)

rewrite125.0ms (2.6%)

series83.0ms (1.7%)

simplify104.0ms (2.1%)

prune63.0ms (1.3%)

regimes147.0ms (3%)

bsearch2.0ms (0%)

simplify5.0ms (0.1%)

end2.0ms (0%)

sample3.1s (62.5%)

Profiling