Details

analyze157.0ms (9.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

676×	`div-sub_binary64`
494×	`times-frac_binary64`
252×	`sub-neg_binary64`
250×	`distribute-rgt-in_binary64`
230×	`associate-/l*_binary64`
196×	`distribute-lft-in_binary64`
156×	`cancel-sign-sub-inv_binary64`
144×	`unsub-neg_binary64`
128×	`associate-/r*_binary64`
74×	`distribute-rgt-neg-in_binary64`
69×	`distribute-neg-frac_binary64`
50×	`neg-mul-1_binary64`
46×	`distribute-rgt-neg-out_binary64`
44×	`distribute-frac-neg_binary64` `associate-r_binary64`
38×	`associate-/l/_binary64` `*-commutative_binary64`
34×	`associate--l-_binary64`
32×	`associate-l_binary64`
30×	`neg-sub0_binary64` `distribute-lft-neg-out_binary64`
28×	`distribute-lft-neg-in_binary64` `associate--r-_binary64` `associate--r+_binary64`
24×	`*-lft-identity_binary64` `associate-/r/_binary64` `+-commutative_binary64`
22×	`distribute-neg-in_binary64`
20×	`mul0-rgt_binary64` `div0_binary64` `associate-+l-_binary64`
18×	`mul0-lft_binary64`
16×	`associate-*l/_binary64`
14×	`associate--l+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
12×	`sub0-neg_binary64` `associate-*r/_binary64`
10×	`*-rgt-identity_binary64`
8×	`+-rgt-identity_binary64`
6×	`/-rgt-identity_binary64` `remove-double-neg_binary64` `distribute-rgt1-in_binary64` `associate-+l+_binary64`
4×	`+-lft-identity_binary64`
2×	`*-inverses_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` `mul-1-neg_binary64` `--rgt-identity_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-lft1-in_binary64` `distribute-rgt-out--_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	10	20
1	24	20
2	37	20
3	60	20
4	109	20
5	197	20
6	396	20
7	845	20
8	1286	20
9	1317	20
10	1165	20
11	1177	20
12	1179	20
13	1179	20
14	1231	20
15	1239	20
16	1239	20
17	1126	20
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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample16.0ms (1%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify50.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

346×	`div-sub_binary64`
278×	`times-frac_binary64`
129×	`sub-neg_binary64`
103×	`associate-/r/_binary64`
101×	`associate-/l*_binary64`
94×	`distribute-rgt-in_binary64`
82×	`associate-/r*_binary64`
81×	`distribute-lft-in_binary64`
78×	`associate-/l/_binary64`
70×	`cancel-sign-sub-inv_binary64`
41×	`distribute-neg-frac_binary64`
40×	`associate-*l/_binary64`
29×	`unsub-neg_binary64`
28×	`neg-mul-1_binary64`
25×	`distribute-frac-neg_binary64`
23×	`associate-*r/_binary64`
22×	`neg-sub0_binary64`
21×	`*-commutative_binary64`
20×	`distribute-lft-neg-out_binary64` `associate-r_binary64`
19×	`distribute-rgt-neg-in_binary64` `associate-l_binary64`
18×	`associate--l-_binary64`
17×	`distribute-rgt-neg-out_binary64` `associate--r-_binary64` `associate--r+_binary64` `associate-+l-_binary64` `+-commutative_binary64`
16×	`div0_binary64`
15×	`mul0-rgt_binary64` `distribute-lft-neg-in_binary64`
12×	`*-lft-identity_binary64`
10×	`mul0-lft_binary64`
9×	`sub0-neg_binary64`
8×	`*-rgt-identity_binary64` `associate-+l+_binary64`
7×	`+-lft-identity_binary64` `associate--l+_binary64` `associate-+r-_binary64`
6×	`distribute-neg-in_binary64`
5×	`+-rgt-identity_binary64` `associate-+r+_binary64`
4×	`mul-1-neg_binary64` `--rgt-identity_binary64`
3×	`/-rgt-identity_binary64` `distribute-lft-out_binary64`
1×	`1-exp_binary64` `remove-double-neg_binary64` `*-inverses_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-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` `+-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-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	22	10
3	35	10
4	59	10
5	99	10
6	176	10
7	324	10
8	566	10
9	739	10
10	832	10
11	780	10
12	782	10
13	782	10
14	690	10

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 7 to 6 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite50.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
30×	`times-frac_binary64`
19×	`difference-of-squares_binary64`
14×	`add-cube-cbrt_binary64`
13×	`distribute-lft-out--_binary64`
6×	`associate-/r*_binary64`
5×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `associate-/r/_binary64`
1×	`pow1_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

1 → 58

Calls

1 calls:

8.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 772 to 380 computations (50.8% saved)

series37.0ms (2.3%)

Error

Counts

1 → 18

Calls

1 calls:

28.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 402 to 305 computations (24.1% saved)

simplify102.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

834×	`div-sub_binary64`
806×	`times-frac_binary64`
405×	`sub-neg_binary64`
207×	`associate--l+_binary64`
179×	`associate-+l+_binary64`
157×	`distribute-rgt-in_binary64`
141×	`unsub-neg_binary64`
138×	`+-commutative_binary64`
128×	`distribute-lft-in_binary64`
125×	`associate--r+_binary64`
105×	`associate-+r+_binary64`
104×	`distribute-rgt-neg-out_binary64`
78×	`associate-*l/_binary64`
74×	`associate-l_binary64`
71×	`*-commutative_binary64`
69×	`associate-r_binary64`
66×	`neg-sub0_binary64`
65×	`associate-/r*_binary64`
58×	`associate-/l*_binary64`
57×	`cancel-sign-sub_binary64` `associate-/l/_binary64`
55×	`associate-*r/_binary64`
52×	`distribute-frac-neg_binary64`
51×	`neg-mul-1_binary64`
50×	`distribute-neg-frac_binary64`
42×	`associate-+l-_binary64`
39×	`cancel-sign-sub-inv_binary64`
38×	`associate-+r-_binary64`
34×	`associate-/r/_binary64`
30×	`distribute-neg-in_binary64`
28×	`+-rgt-identity_binary64`
27×	`*-rgt-identity_binary64` `distribute-rgt-out_binary64`
22×	`exp-prod_binary64`
20×	`sub0-neg_binary64`
19×	`cube-prod_binary64`
18×	`*-lft-identity_binary64` `sqr-pow_binary64`
16×	`unswap-sqr_binary64` `distribute-lft-neg-out_binary64`
13×	`distribute-neg-out_binary64`
11×	`exp-diff_binary64` `distribute-rgt-neg-in_binary64`
10×	`distribute-lft-neg-in_binary64`
8×	`sqr-neg_binary64` `mul-1-neg_binary64`
7×	`cube-unmult_binary64` `/-rgt-identity_binary64` `associate--l-_binary64`
6×	`unpow3_binary64` `exp-sum_binary64` `distribute-rgt1-in_binary64`
5×	`cube-div_binary64` `swap-sqr_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64`
4×	`cube-neg_binary64`
3×	`log-div_binary64` `log-prod_binary64` `pow-plus_binary64` `difference-of-sqr-1_binary64` `associate--r-_binary64`
2×	`cube-mult_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-neg_binary64` `1-exp_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `div0_binary64` `*-inverses_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-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-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_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-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `count-2_binary64`

Counts

76 → 42

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	1471
1	325	1421
2	867	1413
3	2691	1413
4	4512	1413
5	5668	1413

prune19.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Error

Counts

43 → 3

Compiler

Compiled 432 to 214 computations (50.5% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 y 1) (-.f64 x y))
0.1b	(.f64 y (.f64 y x))
4.5b	(+.f64 (.f64 y (.f64 y x)) (*.f64 (+.f64 y 1) (-.f64 x y)))

rewrite74.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
12×	`cancel-sign-sub-inv_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64`
8×	`distribute-rgt-in_binary64` `associate-+r+_binary64` `distribute-lft-in_binary64`
7×	`associate-l_binary64`
6×	`associate-r_binary64`
5×	`add-log-exp_binary64`
4×	`flip3-+_binary64` `flip-+_binary64` `sub-neg_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`-commutative_binary64` `associate-l/_binary64` `associate-*r/_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `unswap-sqr_binary64` `distribute-lft-out_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

3 → 74

Calls

3 calls:

9.0ms	(*.f64 (+.f64 y 1) (-.f64 x y))
7.0ms	(+.f64 (.f64 y (.f64 y x)) (*.f64 (+.f64 y 1) (-.f64 x y)))
5.0ms	(.f64 y (.f64 y x))

Compiler

Compiled 1526 to 620 computations (59.4% saved)

series91.0ms (5.6%)

Error

Counts

3 → 36

Calls

3 calls:

39.0ms	(+.f64 (.f64 y (.f64 y x)) (*.f64 (+.f64 y 1) (-.f64 x y)))
25.0ms	(*.f64 (+.f64 y 1) (-.f64 x y))
17.0ms	(.f64 y (.f64 y x))

Compiler

Compiled 945 to 627 computations (33.7% saved)

simplify115.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

448×	`*-commutative_binary64`
334×	`exp-prod_binary64`
298×	`exp-sum_binary64`
296×	`distribute-rgt-neg-in_binary64`
295×	`unswap-sqr_binary64`
271×	`unsub-neg_binary64`
229×	`distribute-lft-neg-in_binary64`
219×	`sub-neg_binary64`
211×	`associate-l_binary64`
185×	`associate-r_binary64`
170×	`associate-+l+_binary64`
160×	`distribute-neg-in_binary64`
138×	`associate-+r+_binary64`
137×	`exp-diff_binary64`
131×	`+-commutative_binary64`
128×	`distribute-rgt-in_binary64`
117×	`distribute-lft-in_binary64`
116×	`neg-sub0_binary64`
110×	`cancel-sign-sub-inv_binary64`
108×	`neg-mul-1_binary64`
77×	`sqr-pow_binary64`
75×	`log-prod_binary64`
70×	`distribute-lft-neg-out_binary64`
60×	`associate--l+_binary64`
59×	`distribute-rgt-out_binary64`
54×	`distribute-rgt-neg-out_binary64`
50×	`associate--r+_binary64`
46×	`associate-+l-_binary64`
34×	`distribute-rgt-out--_binary64` `associate-+r-_binary64`
33×	`swap-sqr_binary64`
32×	`cube-prod_binary64`
29×	`*-lft-identity_binary64`
27×	`*-rgt-identity_binary64`
25×	`distribute-lft-out_binary64`
24×	`cancel-sign-sub_binary64`
22×	`remove-double-neg_binary64`
20×	`+-rgt-identity_binary64`
16×	`exp-neg_binary64` `difference-of-squares_binary64`
15×	`sub0-neg_binary64` `distribute-lft-out--_binary64`
14×	`pow-sqr_binary64`
12×	`unpow3_binary64`
10×	`pow-plus_binary64`
9×	`mul-1-neg_binary64`
8×	`log-pow_binary64` `unpow1/2_binary64`
7×	`distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64`
5×	`cube-unmult_binary64`
4×	`cube-mult_binary64` `div-sub_binary64`
3×	`associate-/l*_binary64` `associate--l-_binary64`
2×	`difference-of-sqr-1_binary64` `distribute-lft1-in_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `difference-of-sqr--1_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` `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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `times-frac_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64`

Counts

110 → 88

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	1680
1	448	1551
2	1497	1474
3	2910	1472
4	4513	1472
5	4997	1472

prune35.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	88	3	91

Error

Counts

91 → 3

Compiler

Compiled 962 to 374 computations (61.1% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (/.f64 1 y))
0.0b	(-.f64 (+.f64 1 (/.f64 1 y)) (/.f64 x y))

rewrite54.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
13×	`cancel-sign-sub-inv_binary64`
10×	`times-frac_binary64`
9×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
4×	`distribute-lft-out_binary64`
3×	`div-inv_binary64` `distribute-lft-out--_binary64`
2×	`sum-log_binary64` `diff-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `frac-sub_binary64` `flip-+_binary64` `difference-of-squares_binary64`
1×	`flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `associate--l+_binary64` `+-commutative_binary64`

Counts

2 → 46

Calls

2 calls:

13.0ms	(-.f64 (+.f64 1 (/.f64 1 y)) (/.f64 x y))
6.0ms	(+.f64 1 (/.f64 1 y))

Compiler

Compiled 780 to 492 computations (36.9% saved)

series34.0ms (2.1%)

Error

Counts

2 → 18

Calls

2 calls:

21.0ms	(-.f64 (+.f64 1 (/.f64 1 y)) (/.f64 x y))
7.0ms	(+.f64 1 (/.f64 1 y))

Compiler

Compiled 247 to 215 computations (13% saved)

simplify92.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

418×	`div-sub_binary64`
268×	`distribute-rgt-in_binary64`
250×	`distribute-lft-in_binary64`
247×	`cancel-sign-sub-inv_binary64`
242×	`exp-prod_binary64`
215×	`associate-r_binary64`
211×	`associate-l_binary64`
193×	`distribute-lft-neg-out_binary64`
188×	`associate-*l/_binary64`
185×	`associate-/l*_binary64`
176×	`distribute-rgt-neg-out_binary64`
158×	`unsub-neg_binary64`
156×	`associate-*r/_binary64`
147×	`distribute-rgt-out_binary64`
132×	`distribute-neg-frac_binary64`
123×	`sub-neg_binary64`
113×	`cube-prod_binary64`
107×	`distribute-rgt-neg-in_binary64`
104×	`*-commutative_binary64`
78×	`cube-div_binary64`
74×	`distribute-lft-neg-in_binary64`
71×	`neg-sub0_binary64`
64×	`exp-sum_binary64` `associate-/l/_binary64` `associate-+l+_binary64`
63×	`exp-diff_binary64` `neg-mul-1_binary64`
55×	`times-frac_binary64` `distribute-frac-neg_binary64` `+-commutative_binary64`
50×	`swap-sqr_binary64`
47×	`sqr-pow_binary64`
46×	`associate-/r*_binary64` `associate-+r+_binary64`
44×	`distribute-lft-out_binary64`
40×	`sqr-neg_binary64` `distribute-neg-in_binary64`
34×	`*-lft-identity_binary64`
33×	`associate-/r/_binary64`
31×	`unswap-sqr_binary64`
29×	`*-rgt-identity_binary64`
27×	`unpow3_binary64`
23×	`exp-neg_binary64`
21×	`mul0-rgt_binary64` `mul0-lft_binary64`
20×	`distribute-rgt1-in_binary64`
17×	`cube-unmult_binary64` `cube-mult_binary64`
16×	`associate-+l-_binary64`
15×	`difference-of-squares_binary64` `distribute-rgt-out--_binary64`
14×	`associate-+r-_binary64`
13×	`associate--l+_binary64`
12×	`+-rgt-identity_binary64` `div0_binary64`
11×	`sub0-neg_binary64`
10×	`associate--r+_binary64`
8×	`pow-plus_binary64` `cube-neg_binary64` `rem-sqrt-square_binary64` `/-rgt-identity_binary64`
6×	`distribute-lft1-in_binary64`
5×	`div-exp_binary64`
4×	`log-prod_binary64` `mul-1-neg_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64`
3×	`unpow1/2_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64` `difference-of-sqr-1_binary64`
2×	`rem-3cbrt-lft_binary64` `remove-double-neg_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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` `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` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

64 → 42

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	775
1	315	754
2	891	735
3	2851	714
4	4241	714
5	5324	714

prune14.0ms (0.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	42	3	45

Error

Counts

45 → 3

Compiler

Compiled 274 to 184 computations (32.8% saved)

regimes132.0ms (8.2%)

Accuracy

Total 0.0b remaining (34.5%)

Threshold costs 0.0b (34.5%)

Compiler

Compiled 934 to 785 computations (16% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg_binary64` `+-commutative_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-commutative_binary64`
1×	`1-exp_binary64` `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` `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	8	16
1	14	16
2	22	16
3	26	16
4	28	16
5	27	16

end1.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

sample515.0ms (32%)

Algorithm

1×

intervals

Results

210.0ms	7997×	body	128	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 51 to 50 computations (2% saved)

Iter	Nodes	Cost
0	7	10
1	15	10
2	22	10
3	35	10
4	59	10
5	99	10
6	176	10
7	324	10
8	566	10
9	739	10
10	832	10
11	780	10
12	782	10
13	782	10
14	690	10

Iter	Nodes	Cost
0	7	10
1	15	10
2	22	10
3	35	10
4	59	10
5	99	10
6	176	10
7	324	10
8	566	10
9	739	10
10	832	10
11	780	10
12	782	10
13	782	10
14	690	10

Details

analyze157.0ms (9.7%)

sample16.0ms (1%)

simplify50.0ms (3.1%)

prune1.0ms (0.1%)

localize5.0ms (0.3%)

rewrite50.0ms (3.1%)

series37.0ms (2.3%)

simplify102.0ms (6.3%)

prune19.0ms (1.2%)

localize9.0ms (0.5%)

rewrite74.0ms (4.6%)

series91.0ms (5.6%)

simplify115.0ms (7.1%)

prune35.0ms (2.2%)

localize6.0ms (0.4%)

rewrite54.0ms (3.4%)

series34.0ms (2.1%)

simplify92.0ms (5.7%)

prune14.0ms (0.9%)

regimes132.0ms (8.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample515.0ms (32%)

Profiling

Iter	Nodes	Cost
0	7	10
1	15	10
2	22	10
3	35	10
4	59	10
5	99	10
6	176	10
7	324	10
8	566	10
9	739	10
10	832	10
11	780	10
12	782	10
13	782	10
14	690	10