Details

analyze30.0ms (3.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

30×	`distribute-rgt-in_binary64`
22×	`sub-neg_binary64`
19×	`unsub-neg_binary64`
18×	`cancel-sign-sub-inv_binary64`
17×	`distribute-lft-in_binary64`
16×	`associate-r_binary64`
15×	`associate-l_binary64`
14×	`neg-mul-1_binary64`
13×	`neg-sub0_binary64`
11×	`+-lft-identity_binary64` `distribute-rgt-neg-in_binary64` `associate--r+_binary64`
9×	`sub0-neg_binary64` `distribute-lft-neg-out_binary64` `associate-+l-_binary64`
7×	`distribute-rgt-neg-out_binary64`
6×	`mul0-rgt_binary64` `mul0-lft_binary64`
5×	`--rgt-identity_binary64` `*-commutative_binary64` `+-commutative_binary64`
4×	`remove-double-neg_binary64`
3×	`-rgt-identity_binary64` `-lft-identity_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
2×	`swap-sqr_binary64` `distribute-neg-in_binary64` `associate--r-_binary64` `associate--l+_binary64`
1×	`1-exp_binary64` `sqr-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` `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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `+-rgt-identity_binary64` `div0_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` `cancel-sign-sub_binary64` `distribute-neg-frac_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` `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	7	10
1	16	10
2	32	10
3	55	10
4	108	10
5	131	10
6	145	10
7	208	10
8	217	10
9	217	10
10	216	10
11	167	10
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
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	25%	13
75%	0%	25%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample11.0ms (1.4%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify23.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

30×	`distribute-rgt-in_binary64`
22×	`sub-neg_binary64`
19×	`unsub-neg_binary64`
18×	`cancel-sign-sub-inv_binary64`
17×	`distribute-lft-in_binary64`
16×	`associate-r_binary64`
15×	`associate-l_binary64`
14×	`neg-mul-1_binary64`
13×	`neg-sub0_binary64`
11×	`+-lft-identity_binary64` `distribute-rgt-neg-in_binary64` `associate--r+_binary64`
9×	`sub0-neg_binary64` `distribute-lft-neg-out_binary64` `associate-+l-_binary64`
7×	`distribute-rgt-neg-out_binary64`
6×	`mul0-rgt_binary64` `mul0-lft_binary64`
5×	`--rgt-identity_binary64` `*-commutative_binary64` `+-commutative_binary64`
4×	`remove-double-neg_binary64`
3×	`-rgt-identity_binary64` `-lft-identity_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
2×	`swap-sqr_binary64` `distribute-neg-in_binary64` `associate--r-_binary64` `associate--l+_binary64`
1×	`1-exp_binary64` `sqr-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` `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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `+-rgt-identity_binary64` `div0_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` `cancel-sign-sub_binary64` `distribute-neg-frac_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` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	32	10
3	55	10
4	108	10
5	131	10
6	145	10
7	208	10
8	217	10
9	217	10
10	216	10
11	167	10

prune1.0ms (0.2%)

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

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize4.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))

rewrite25.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`add-sqr-sqrt_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-l_binary64` `associate-r*_binary64`
2×	`sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

6.0ms

(*.f64 x (-.f64 1 (*.f64 x 1/2)))

Compiler

Compiled 322 to 242 computations (24.8% saved)

series15.0ms (1.9%)

Error

Counts

1 → 6

Calls

1 calls:

12.0ms

(*.f64 x (-.f64 1 (*.f64 x 1/2)))

Compiler

Compiled 66 to 57 computations (13.6% saved)

simplify62.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

708×	`distribute-rgt-in_binary64`
627×	`distribute-lft-in_binary64`
609×	`distribute-rgt-neg-out_binary64`
447×	`distribute-neg-out_binary64`
287×	`associate-l_binary64`
256×	`*-commutative_binary64`
213×	`associate-r_binary64`
194×	`unswap-sqr_binary64`
181×	`associate-+l+_binary64`
142×	`cancel-sign-sub-inv_binary64`
140×	`neg-sub0_binary64`
131×	`neg-mul-1_binary64`
110×	`exp-prod_binary64`
104×	`associate-+r+_binary64`
101×	`distribute-neg-in_binary64`
96×	`sqr-pow_binary64`
92×	`distribute-rgt-neg-in_binary64`
86×	`distribute-lft-neg-out_binary64`
85×	`distribute-lft-neg-in_binary64`
50×	`unsub-neg_binary64`
48×	`sub-neg_binary64`
41×	`*-lft-identity_binary64`
39×	`swap-sqr_binary64`
36×	`*-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
33×	`exp-sum_binary64`
23×	`cube-prod_binary64`
19×	`log-prod_binary64` `associate-+l-_binary64`
17×	`pow-sqr_binary64`
16×	`cancel-sign-sub_binary64`
15×	`exp-diff_binary64`
12×	`mul-1-neg_binary64` `distribute-lft-out_binary64`
11×	`sub0-neg_binary64`
10×	`div-sub_binary64` `distribute-rgt-out_binary64` `associate-/l*_binary64` `associate-+r-_binary64`
8×	`+-rgt-identity_binary64` `+-commutative_binary64`
7×	`cube-unmult_binary64`
6×	`unpow3_binary64` `unpow1/2_binary64` `pow-plus_binary64` `distribute-neg-frac_binary64`
5×	`sqr-neg_binary64`
4×	`rem-sqrt-square_binary64`
3×	`log-pow_binary64` `exp-neg_binary64` `cube-mult_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out--_binary64`
2×	`cube-neg_binary64` `remove-double-neg_binary64` `difference-of-sqr--1_binary64` `count-2_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `distribute-lft-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` `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` `rec-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` `rem-square-sqrt_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-*l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

30 → 23

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	377
1	131	335
2	377	332
3	1121	332
4	2868	329
5	5249	329

prune11.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

Counts

24 → 2

Compiler

Compiled 185 to 114 computations (38.4% saved)

localize4.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 1/2 (.f64 x x))
0.0b	(-.f64 x (.f64 1/2 (.f64 x x)))

rewrite29.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l*_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64` `unswap-sqr_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

2 → 31

Calls

2 calls:

5.0ms	(.f64 1/2 (.f64 x x))
3.0ms	(-.f64 x (.f64 1/2 (.f64 x x)))

Compiler

Compiled 391 to 214 computations (45.3% saved)

series23.0ms (2.8%)

Error

Counts

2 → 9

Calls

2 calls:

15.0ms	(-.f64 x (.f64 1/2 (.f64 x x)))
7.0ms	(.f64 1/2 (.f64 x x))

Compiler

Compiled 108 to 93 computations (13.9% saved)

simplify103.0ms (12.7%)

Algorithm

1×	egg-herbie

Rules

446×	`cancel-sign-sub-inv_binary64`
395×	`unsub-neg_binary64`
367×	`distribute-rgt-in_binary64`
319×	`distribute-rgt-neg-in_binary64`
313×	`distribute-lft-neg-in_binary64` `associate-l_binary64`
301×	`distribute-lft-in_binary64`
270×	`associate-r_binary64`
228×	`neg-mul-1_binary64`
169×	`neg-sub0_binary64`
129×	`unswap-sqr_binary64`
118×	`exp-prod_binary64`
116×	`times-frac_binary64`
113×	`sqr-pow_binary64`
98×	`difference-of-squares_binary64`
93×	`distribute-rgt-out_binary64`
78×	`sub-neg_binary64`
76×	`*-commutative_binary64`
75×	`log-prod_binary64`
73×	`mul0-rgt_binary64` `mul0-lft_binary64`
68×	`exp-sum_binary64`
62×	`cube-prod_binary64`
56×	`distribute-lft-neg-out_binary64`
54×	`swap-sqr_binary64`
45×	`distribute-rgt-neg-out_binary64`
41×	`associate-+r+_binary64`
32×	`associate-+l+_binary64`
29×	`distribute-lft-out_binary64`
28×	`distribute-rgt-out--_binary64`
27×	`+-commutative_binary64`
26×	`unpow3_binary64`
23×	`pow-sqr_binary64`
21×	`pow-plus_binary64` `exp-diff_binary64`
19×	`cube-mult_binary64`
16×	`log-pow_binary64`
15×	`distribute-rgt1-in_binary64`
13×	`div-sub_binary64`
12×	`cube-unmult_binary64` `sqr-neg_binary64`
11×	`rem-sqrt-square_binary64`
9×	`-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `associate-/r*_binary64`
8×	`distribute-lft-out--_binary64` `associate-+l-_binary64`
6×	`+-lft-identity_binary64`
5×	`unpow1/2_binary64` `mul-1-neg_binary64` `distribute-lft1-in_binary64` `associate-/l*_binary64` `associate-+r-_binary64`
3×	`cube-neg_binary64` `distribute-neg-in_binary64` `associate--r+_binary64`
2×	`unpow2_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-*r/_binary64` `associate--l+_binary64`
1×	`unpow1_binary64` `div-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `difference-of-sqr-1_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-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-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` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_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--l-_binary64`

Counts

40 → 24

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	447
1	133	408
2	366	404
3	1337	404
4	3560	404
5	4564	404
6	4985	404
7	4747	404

prune9.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	24	2	26

Error

Counts

26 → 2

Compiler

Compiled 146 to 93 computations (36.3% saved)

regimes49.0ms (6%)

Accuracy

Total 0.0b remaining (93.9%)

Threshold costs 0.0b (93.9%)

Compiler

Compiled 240 to 207 computations (13.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
5×	`distribute-rgt-neg-in_binary64`
4×	`distribute-lft-neg-in_binary64` `+-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`
1×	`1-exp_binary64` `unsub-neg_binary64` `*-lft-identity_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-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` `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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `*-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	25	10
2	40	10
3	45	10
4	47	10
5	44	10

end1.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample406.0ms (50.1%)

Algorithm

1×

intervals

Results

168.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 32 to 30 computations (6.3% saved)

Iter	Nodes	Cost
0	7	10
1	16	10
2	32	10
3	55	10
4	108	10
5	131	10
6	145	10
7	208	10
8	217	10
9	217	10
10	216	10
11	167	10
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	10
1	16	10
2	32	10
3	55	10
4	108	10
5	131	10
6	145	10
7	208	10
8	217	10
9	217	10
10	216	10
11	167	10

Iter	Nodes	Cost
0	7	10
1	16	10
2	32	10
3	55	10
4	108	10
5	131	10
6	145	10
7	208	10
8	217	10
9	217	10
10	216	10
11	167	10
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	10
1	16	10
2	32	10
3	55	10
4	108	10
5	131	10
6	145	10
7	208	10
8	217	10
9	217	10
10	216	10
11	167	10

Details

analyze30.0ms (3.8%)

sample11.0ms (1.4%)

simplify23.0ms (2.9%)

prune1.0ms (0.2%)

localize4.0ms (0.5%)

rewrite25.0ms (3.1%)

series15.0ms (1.9%)

simplify62.0ms (7.6%)

prune11.0ms (1.3%)

localize4.0ms (0.5%)

rewrite29.0ms (3.6%)

series23.0ms (2.8%)

simplify103.0ms (12.7%)

prune9.0ms (1.1%)

regimes49.0ms (6%)

bsearch0.0ms (0%)

simplify3.0ms (0.4%)

end1.0ms (0.1%)

sample406.0ms (50.1%)

Profiling

Iter	Nodes	Cost
0	7	10
1	16	10
2	32	10
3	55	10
4	108	10
5	131	10
6	145	10
7	208	10
8	217	10
9	217	10
10	216	10
11	167	10
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	10
1	16	10
2	32	10
3	55	10
4	108	10
5	131	10
6	145	10
7	208	10
8	217	10
9	217	10
10	216	10
11	167	10