Details

analyze350.0ms (25%)

Algorithm

1×	search
2×	egg-herbie

Rules

172×	`cancel-sign-sub-inv_binary64`
131×	`distribute-rgt-in_binary64`
122×	`sub-neg_binary64`
111×	`unsub-neg_binary64`
97×	`associate--r+_binary64`
64×	`distribute-lft-in_binary64`
57×	`associate-+l-_binary64`
56×	`neg-mul-1_binary64` `distribute-rgt-neg-in_binary64`
49×	`associate-+r+_binary64`
48×	`+-commutative_binary64`
39×	`distribute-lft-neg-out_binary64` `*-commutative_binary64`
36×	`sub0-neg_binary64` `+-lft-identity_binary64`
35×	`neg-sub0_binary64` `associate-r_binary64` `associate-+l+_binary64`
31×	`distribute-neg-in_binary64`
29×	`associate--l+_binary64`
23×	`distribute-rgt-neg-out_binary64` `distribute-rgt-out_binary64`
21×	`associate-+r-_binary64`
19×	`distribute-rgt-out--_binary64` `associate-l_binary64`
18×	`mul0-rgt_binary64`
16×	`mul0-lft_binary64`
14×	`associate--r-_binary64`
12×	`distribute-lft-neg-in_binary64`
10×	`remove-double-neg_binary64`
9×	`-rgt-identity_binary64` `-lft-identity_binary64` `associate--l-_binary64`
6×	`--rgt-identity_binary64` `+-rgt-identity_binary64`
4×	`distribute-lft-out--_binary64`
2×	`distribute-neg-out_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` `div-sub_binary64` `mul-1-neg_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` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	38	52
2	70	52
3	106	48
4	216	48
5	373	40
6	495	40
7	940	40
8	860	40
9	839	40
10	838	40
11	838	40
12	779	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
36.7%	60.1%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
57.6%	31.1%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample19.0ms (1.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	14×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify21.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

52×	`cancel-sign-sub-inv_binary64`
45×	`sub-neg_binary64` `distribute-rgt-in_binary64`
43×	`associate--r+_binary64`
28×	`unsub-neg_binary64`
23×	`neg-mul-1_binary64` `distribute-rgt-neg-in_binary64`
22×	`distribute-lft-in_binary64`
19×	`associate-l_binary64`
18×	`neg-sub0_binary64` `associate-r_binary64` `+-commutative_binary64`
17×	`*-commutative_binary64`
15×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64` `associate-+l-_binary64`
14×	`associate-+r+_binary64`
12×	`sub0-neg_binary64`
11×	`associate--l+_binary64` `associate-+l+_binary64`
10×	`*-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
9×	`distribute-rgt-out--_binary64`
8×	`*-lft-identity_binary64` `+-lft-identity_binary64` `distribute-rgt-neg-out_binary64` `associate--r-_binary64` `associate-+r-_binary64`
7×	`distribute-lft-neg-in_binary64`
6×	`remove-double-neg_binary64`
5×	`distribute-rgt-out_binary64`
4×	`+-rgt-identity_binary64`
3×	`--rgt-identity_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `distribute-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` `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` `div-sub_binary64` `mul-1-neg_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` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_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`

Counts

1 → 1

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	16	13
2	26	13
3	42	13
4	87	12
5	122	10
6	168	10
7	291	10
8	345	10
9	353	10
10	344	10
11	301	10

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 x (-.f64 z y))

rewrite25.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`add-cube-cbrt_binary64` `associate-r_binary64`
4×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`sub-neg_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` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

1 → 30

Calls

1 calls:

7.0ms

(*.f64 x (-.f64 z y))

Compiler

Compiled 371 to 131 computations (64.7% saved)

series31.0ms (2.2%)

Error

Counts

1 → 15

Calls

1 calls:

28.0ms

(*.f64 x (-.f64 z y))

Compiler

Compiled 214 to 170 computations (20.6% saved)

simplify59.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

620×	`distribute-neg-out_binary64`
402×	`neg-sub0_binary64`
390×	`associate-l_binary64`
385×	`neg-mul-1_binary64`
336×	`associate-r_binary64`
229×	`unswap-sqr_binary64`
222×	`distribute-rgt-neg-out_binary64`
209×	`distribute-lft-neg-out_binary64`
177×	`sqr-pow_binary64`
161×	`distribute-rgt-in_binary64`
157×	`exp-prod_binary64` `distribute-lft-in_binary64`
86×	`associate-+r+_binary64`
82×	`unsub-neg_binary64`
75×	`cancel-sign-sub-inv_binary64`
74×	`*-commutative_binary64`
69×	`associate-+l+_binary64`
63×	`+-commutative_binary64`
54×	`sub-neg_binary64`
53×	`swap-sqr_binary64`
48×	`exp-sum_binary64`
46×	`-rgt-identity_binary64` `-lft-identity_binary64`
34×	`pow-sqr_binary64`
26×	`distribute-rgt-out_binary64`
25×	`distribute-lft-neg-in_binary64`
24×	`times-frac_binary64`
23×	`div-sub_binary64`
22×	`exp-diff_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-out_binary64`
17×	`difference-of-squares_binary64`
16×	`cube-prod_binary64`
14×	`+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
12×	`sub0-neg_binary64`
11×	`sqr-neg_binary64` `+-lft-identity_binary64`
10×	`cube-unmult_binary64` `mul-1-neg_binary64`
9×	`log-prod_binary64` `distribute-frac-neg_binary64` `associate-+l-_binary64`
7×	`associate-/l*_binary64` `associate-+r-_binary64`
6×	`unpow3_binary64` `remove-double-neg_binary64`
5×	`unpow1/2_binary64`
4×	`pow-plus_binary64` `rem-sqrt-square_binary64` `distribute-neg-frac_binary64`
3×	`exp-neg_binary64` `--rgt-identity_binary64` `distribute-rgt-out--_binary64`
2×	`cube-mult_binary64` `cube-neg_binary64` `associate-*r/_binary64` `associate--r+_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64` `count-2_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` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `div-exp_binary64` `rec-exp_binary64` `prod-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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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` `difference-of-sqr-1_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

45 → 25

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	416
1	159	386
2	455	386
3	1599	386
4	2992	386
5	5690	386

prune6.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Error

Counts

27 → 2

Compiler

Compiled 91 to 43 computations (52.7% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) y)
0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))

rewrite38.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64`
3×	`associate-r_binary64`
2×	`associate-*l/_binary64` `difference-of-squares_binary64`
1×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

2 → 34

Calls

2 calls:

7.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
6.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 538 to 298 computations (44.6% saved)

series54.0ms (3.9%)

Error

Counts

2 → 27

Calls

2 calls:

31.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
14.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 406 to 314 computations (22.7% saved)

simplify83.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

963×	`unsub-neg_binary64`
595×	`neg-sub0_binary64`
521×	`neg-mul-1_binary64`
459×	`distribute-rgt-neg-out_binary64`
457×	`associate-l_binary64`
388×	`distribute-lft-neg-out_binary64`
377×	`associate-r_binary64`
229×	`distribute-rgt-in_binary64`
207×	`cancel-sign-sub-inv_binary64`
205×	`distribute-lft-in_binary64`
177×	`distribute-rgt-out_binary64`
141×	`distribute-rgt-neg-in_binary64`
103×	`exp-prod_binary64`
102×	`*-commutative_binary64`
91×	`sub-neg_binary64` `distribute-lft-neg-in_binary64`
89×	`distribute-neg-in_binary64`
78×	`exp-sum_binary64`
63×	`unswap-sqr_binary64`
61×	`cube-prod_binary64` `distribute-neg-out_binary64`
52×	`sqr-pow_binary64`
46×	`log-prod_binary64`
43×	`exp-diff_binary64`
35×	`distribute-rgt-out--_binary64`
27×	`*-lft-identity_binary64`
26×	`associate-+l+_binary64`
24×	`remove-double-neg_binary64`
22×	`+-commutative_binary64`
21×	`*-rgt-identity_binary64`
20×	`associate-+l-_binary64`
17×	`div-sub_binary64`
16×	`associate-+r-_binary64`
15×	`mul-1-neg_binary64`
14×	`distribute-lft-out_binary64`
12×	`unpow3_binary64` `swap-sqr_binary64` `associate-+r+_binary64`
11×	`cube-neg_binary64` `sub0-neg_binary64`
10×	`cube-unmult_binary64` `sqr-neg_binary64`
9×	`times-frac_binary64` `+-rgt-identity_binary64`
7×	`pow-sqr_binary64` `associate--r+_binary64`
6×	`distribute-rgt1-in_binary64`
5×	`cube-mult_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`
4×	`rem-sqrt-square_binary64` `difference-of-squares_binary64`
3×	`exp-neg_binary64`
2×	`unpow1/2_binary64` `difference-of-sqr-1_binary64` `associate--r-_binary64` `associate--l-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `--rgt-identity_binary64` `distribute-frac-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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `div-exp_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` `+-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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

61 → 46

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	702
1	217	618
2	601	615
3	2234	606
4	3785	606
5	5615	606

prune16.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	46	2	48

Error

Counts

48 → 2

Compiler

Compiled 373 to 125 computations (66.5% saved)

regimes86.0ms (6.1%)

Accuracy

Total 0.0b remaining (53.8%)

Threshold costs 0.0b (53.8%)

Compiler

Compiled 302 to 358 computations (-18.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64` `*-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_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-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	7	10
1	11	10
2	16	10
3	18	10
4	19	10
5	19	10

end1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

sample598.0ms (42.6%)

Algorithm

1×

intervals

Results

228.0ms	8000×	body	128	valid
16.0ms	618×	body	128	invalid

Compiler

Compiled 43 to 50 computations (-16.3% saved)

Iter	Nodes	Cost
0	20	52
1	38	52
2	70	52
3	106	48
4	216	48
5	373	40
6	495	40
7	940	40
8	860	40
9	839	40
10	838	40
11	838	40
12	779	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	13
1	16	13
2	26	13
3	42	13
4	87	12
5	122	10
6	168	10
7	291	10
8	345	10
9	353	10
10	344	10
11	301	10

Iter	Nodes	Cost
0	20	52
1	38	52
2	70	52
3	106	48
4	216	48
5	373	40
6	495	40
7	940	40
8	860	40
9	839	40
10	838	40
11	838	40
12	779	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	13
1	16	13
2	26	13
3	42	13
4	87	12
5	122	10
6	168	10
7	291	10
8	345	10
9	353	10
10	344	10
11	301	10

Details

analyze350.0ms (25%)

sample19.0ms (1.4%)

simplify21.0ms (1.5%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

rewrite25.0ms (1.8%)

series31.0ms (2.2%)

simplify59.0ms (4.2%)

prune6.0ms (0.4%)

localize6.0ms (0.4%)

rewrite38.0ms (2.7%)

series54.0ms (3.9%)

simplify83.0ms (5.9%)

prune16.0ms (1.1%)

regimes86.0ms (6.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample598.0ms (42.6%)

Profiling

Iter	Nodes	Cost
0	20	52
1	38	52
2	70	52
3	106	48
4	216	48
5	373	40
6	495	40
7	940	40
8	860	40
9	839	40
10	838	40
11	838	40
12	779	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	13
1	16	13
2	26	13
3	42	13
4	87	12
5	122	10
6	168	10
7	291	10
8	345	10
9	353	10
10	344	10
11	301	10