Details

analyze50.0ms (4.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

40×	`cancel-sign-sub-inv_binary64`
28×	`sub-neg_binary64`
14×	`distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `associate-/l_binary64` `associate-/r_binary64`
12×	`neg-mul-1_binary64`
10×	`neg-sub0_binary64` `distribute-rgt-neg-out_binary64` `associate--r+_binary64` `associate-+l-_binary64` `+-commutative_binary64`
8×	`div-sub_binary64` `distribute-neg-in_binary64` `*-commutative_binary64`
6×	`remove-double-neg_binary64` `sub0-neg_binary64` `distribute-neg-frac_binary64` `distribute-lft-neg-in_binary64` `associate-l_binary64` `associate-r_binary64` `associate-+l+_binary64`
4×	`unsub-neg_binary64` `*-lft-identity_binary64` `distribute-frac-neg_binary64` `distribute-rgt-in_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
2×	`--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `distribute-rgt-out--_binary64` `associate-/r/_binary64` `associate-*l/_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` `/-rgt-identity_binary64` `-rgt-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` `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-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	12	14
2	24	14
3	40	14
4	58	14
5	100	14
6	126	14
7	214	14
8	218	14
9	220	14
10	182	14
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample13.0ms (1.1%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify15.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

22×	`cancel-sign-sub-inv_binary64`
18×	`sub-neg_binary64`
11×	`neg-mul-1_binary64`
10×	`distribute-rgt-in_binary64`
9×	`distribute-rgt-neg-in_binary64` `associate--r+_binary64`
8×	`neg-sub0_binary64`
7×	`unsub-neg_binary64` `associate-/l*_binary64`
6×	`-lft-identity_binary64` `distribute-neg-frac_binary64` `distribute-lft-neg-out_binary64` `associate-/r_binary64` `associate--r-_binary64` `+-commutative_binary64`
5×	`sub0-neg_binary64` `+-lft-identity_binary64` `distribute-neg-in_binary64` `distribute-lft-in_binary64` `associate-l/_binary64` `associate-+l-_binary64` `-commutative_binary64`
4×	`*-rgt-identity_binary64`
3×	`distribute-rgt-neg-out_binary64` `associate-*r/_binary64` `associate-+l+_binary64`
2×	`remove-double-neg_binary64` `--rgt-identity_binary64`
1×	`1-exp_binary64` `div-sub_binary64` `+-rgt-identity_binary64` `distribute-lft-neg-in_binary64` `associate-/r/_binary64` `associate-l_binary64` `associate-r_binary64` `associate--l+_binary64` `associate-+r-_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-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` `/-rgt-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` `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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate--l-_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	23	7
4	34	7
5	56	7
6	82	7
7	95	7
8	120	7
9	134	7
10	148	7
11	151	7
12	114	7

prune1.0ms (0.1%)

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 5 to 5 computations (0% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (/.f64 y 200))

rewrite34.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64` `cancel-sign-sub-inv_binary64`
10×	`*-un-lft-identity_binary64` `times-frac_binary64`
8×	`add-cube-cbrt_binary64`
3×	`add-log-exp_binary64`
2×	`difference-of-squares_binary64`
1×	`diff-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `div-inv_binary64` `distribute-lft-out--_binary64`

Counts

1 → 27

Calls

1 calls:

7.0ms

(-.f64 x (/.f64 y 200))

Compiler

Compiled 346 to 239 computations (30.9% saved)

series20.0ms (1.7%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

17.0ms

(-.f64 x (/.f64 y 200))

Compiler

Compiled 81 to 85 computations (-4.9% saved)

simplify62.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

619×	`associate-/l/_binary64`
465×	`div-sub_binary64`
318×	`*-commutative_binary64`
289×	`associate-/r/_binary64`
275×	`distribute-rgt-in_binary64`
265×	`associate-/r*_binary64`
235×	`distribute-lft-in_binary64`
174×	`exp-prod_binary64`
167×	`associate-*l/_binary64`
166×	`associate-/l*_binary64`
140×	`associate-*r/_binary64`
129×	`associate-r_binary64`
126×	`associate-l_binary64`
115×	`distribute-lft-neg-out_binary64`
97×	`distribute-rgt-neg-out_binary64`
89×	`cube-div_binary64` `distribute-neg-frac_binary64`
77×	`sub-neg_binary64`
73×	`unsub-neg_binary64`
67×	`cancel-sign-sub-inv_binary64`
64×	`cube-prod_binary64`
58×	`distribute-rgt-neg-in_binary64`
55×	`exp-diff_binary64`
54×	`neg-sub0_binary64`
49×	`neg-mul-1_binary64`
48×	`distribute-frac-neg_binary64`
43×	`times-frac_binary64` `distribute-lft-neg-in_binary64`
42×	`swap-sqr_binary64`
39×	`exp-sum_binary64`
34×	`associate-+r+_binary64` `+-commutative_binary64`
29×	`associate-+l+_binary64`
28×	`sqr-pow_binary64`
25×	`unswap-sqr_binary64`
20×	`associate-+l-_binary64`
19×	`sqr-neg_binary64`
18×	`unpow3_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
15×	`cube-unmult_binary64`
13×	`cube-mult_binary64` `distribute-rgt-out_binary64`
11×	`div0_binary64`
10×	`*-lft-identity_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out_binary64` `associate--r+_binary64`
7×	`associate-+r-_binary64`
6×	`pow-plus_binary64` `*-rgt-identity_binary64` `sub0-neg_binary64`
5×	`rem-sqrt-square_binary64`
4×	`/-rgt-identity_binary64` `+-rgt-identity_binary64`
3×	`rem-square-sqrt_binary64` `mul-1-neg_binary64`
2×	`exp-neg_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `pow-sqr_binary64` `distribute-neg-in_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_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` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `unpow1/2_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` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

39 → 29

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	322
1	234	307
2	609	304
3	1639	304
4	3917	304
5	4916	304

prune8.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	2	30

Error

Counts

30 → 2

Compiler

Compiled 125 to 87 computations (30.4% saved)

localize10.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 y 200))
0.1b	(*.f64 y (/.f64 y 40000))
4.0b	(-.f64 (.f64 x x) (.f64 y (/.f64 y 40000)))
31.1b	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 40000))) (+.f64 x (/.f64 y 200)))

rewrite102.0ms (8.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`*-un-lft-identity_binary64`
26×	`add-sqr-sqrt_binary64`
22×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
6×	`pow1_binary64`
5×	`distribute-lft-out_binary64`
4×	`associate-/r*_binary64`
3×	`associate-/l_binary64` `associate-l*_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 92

Calls

4 calls:

14.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 40000))) (+.f64 x (/.f64 y 200)))
7.0ms	(*.f64 y (/.f64 y 40000))
6.0ms	(+.f64 x (/.f64 y 200))
4.0ms	(-.f64 (.f64 x x) (.f64 y (/.f64 y 40000)))

Compiler

Compiled 2149 to 1245 computations (42.1% saved)

series99.0ms (8.5%)

Error

Counts

4 → 39

Calls

4 calls:

35.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 40000))) (+.f64 x (/.f64 y 200)))
29.0ms	(-.f64 (.f64 x x) (.f64 y (/.f64 y 40000)))
19.0ms	(+.f64 x (/.f64 y 200))
9.0ms	(*.f64 y (/.f64 y 40000))

Compiler

Compiled 752 to 608 computations (19.1% saved)

simplify135.0ms (11.6%)

Algorithm

1×	egg-herbie

Rules

387×	`associate-*l/_binary64`
381×	`associate-*r/_binary64`
368×	`associate-/l*_binary64`
291×	`*-commutative_binary64`
244×	`div-sub_binary64`
227×	`unswap-sqr_binary64`
192×	`associate-/l/_binary64`
172×	`distribute-rgt-in_binary64`
157×	`distribute-lft-in_binary64`
118×	`times-frac_binary64`
112×	`associate-/r*_binary64`
111×	`log-div_binary64`
109×	`sub-neg_binary64`
108×	`log-prod_binary64`
106×	`associate-/r/_binary64`
95×	`distribute-rgt-neg-in_binary64` `associate-l_binary64`
94×	`exp-prod_binary64`
92×	`cancel-sign-sub-inv_binary64`
81×	`associate-r_binary64`
77×	`sqr-pow_binary64`
76×	`distribute-lft-neg-in_binary64`
73×	`distribute-neg-frac_binary64`
72×	`neg-mul-1_binary64`
71×	`neg-sub0_binary64`
63×	`cube-div_binary64`
61×	`+-commutative_binary64`
56×	`cube-prod_binary64`
54×	`unsub-neg_binary64`
52×	`*-rgt-identity_binary64`
44×	`*-lft-identity_binary64`
42×	`/-rgt-identity_binary64` `associate-+l+_binary64`
37×	`associate-+r+_binary64`
24×	`difference-of-squares_binary64`
23×	`exp-sum_binary64`
20×	`distribute-lft-neg-out_binary64`
19×	`log-rec_binary64`
16×	`distribute-rgt-out_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
14×	`unpow3_binary64`
12×	`+-rgt-identity_binary64` `pow-sqr_binary64`
11×	`exp-diff_binary64`
10×	`cube-mult_binary64` `swap-sqr_binary64`
9×	`mul0-rgt_binary64` `mul0-lft_binary64` `remove-double-div_binary64` `associate--r+_binary64`
8×	`pow-plus_binary64` `sub0-neg_binary64`
7×	`cube-unmult_binary64`
6×	`distribute-rgt-neg-out_binary64` `associate--l+_binary64`
5×	`distribute-neg-in_binary64`
4×	`log-pow_binary64` `remove-double-neg_binary64` `associate--r-_binary64` `associate--l-_binary64`
3×	`unpow1/2_binary64` `rem-sqrt-square_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `div0_binary64` `*-inverses_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64`

Counts

131 → 109

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	2222
1	423	2075
2	1297	2053
3	3748	2039
4	4887	2039
5	4916	2039

prune50.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	109	2	111

Error

Counts

111 → 2

Compiler

Compiled 1639 to 913 computations (44.3% saved)

regimes97.0ms (8.4%)

Accuracy

Total 0.0b remaining (17.5%)

Threshold costs 0.0b (17.5%)

Compiler

Compiled 656 to 614 computations (6.4% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64` `+-commutative_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-commutative_binary64`
1×	`distribute-neg-frac_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `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-inv_binary64` `cancel-sign-sub_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	6	7
1	8	7
2	15	7
3	19	7
4	22	7
5	23	7
6	23	7

end1.0ms (0.1%)

Compiler: Compiled 5 to 5 computations (0% saved)

sample459.0ms (39.4%)

Algorithm

1×

intervals

Results

166.0ms

8000×

body

128

valid

Compiler

Compiled 34 to 38 computations (-11.8% saved)

Iter	Nodes	Cost
0	8	14
1	12	14
2	24	14
3	40	14
4	58	14
5	100	14
6	126	14
7	214	14
8	218	14
9	220	14
10	182	14
0	2	2
1	2	2

Iter	Nodes	Cost
0	8	14
1	12	14
2	24	14
3	40	14
4	58	14
5	100	14
6	126	14
7	214	14
8	218	14
9	220	14
10	182	14
0	2	2
1	2	2

Details

analyze50.0ms (4.3%)

sample13.0ms (1.1%)

simplify15.0ms (1.3%)

prune1.0ms (0.1%)

localize3.0ms (0.3%)

rewrite34.0ms (3%)

series20.0ms (1.7%)

simplify62.0ms (5.4%)

prune8.0ms (0.7%)

localize10.0ms (0.8%)

rewrite102.0ms (8.7%)

series99.0ms (8.5%)

simplify135.0ms (11.6%)

prune50.0ms (4.3%)

regimes97.0ms (8.4%)

bsearch0.0ms (0%)

simplify5.0ms (0.4%)

end1.0ms (0.1%)

sample459.0ms (39.4%)

Profiling

Iter	Nodes	Cost
0	8	14
1	12	14
2	24	14
3	40	14
4	58	14
5	100	14
6	126	14
7	214	14
8	218	14
9	220	14
10	182	14
0	2	2
1	2	2