Details

analyze376.0ms (11.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

4×	`sub-neg_binary64`
3×	`+-commutative_binary64`
1×	`1-exp_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `associate--r+_binary64` `associate-+l-_binary64` `*-commutative_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` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `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-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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_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` `associate-r*_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	14	11
2	17	11
3	19	11
4	21	11
5	22	11
6	27	11
7	20	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample20.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg_binary64`
3×	`+-commutative_binary64`
1×	`1-exp_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `associate--r+_binary64` `associate-+l-_binary64` `*-commutative_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` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `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-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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_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` `associate-r*_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	14	11
2	17	11
3	19	11
4	21	11
5	22	11
6	27	11
7	20	11

prune3.0ms (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 7 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite89.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
14×	`log-prod_binary64`
12×	`times-frac_binary64` `difference-of-squares_binary64`
6×	`difference-of-sqr-1_binary64`
4×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `distribute-lft-out--_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `cancel-sign-sub-inv_binary64`
2×	`add-cbrt-cube_binary64` `flip3--_binary64` `flip--_binary64` `div-inv_binary64` `log-div_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `log-pow_binary64` `rem-log-exp_binary64`

Counts

2 → 50

Calls

2 calls:

18.0ms	(log.f64 (-.f64 (/.f64 1 x) 1))
11.0ms	(-.f64 (/.f64 1 x) 1)

Compiler

Compiled 750 to 637 computations (15.1% saved)

series74.0ms (2.3%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

38.0ms	(-.f64 (/.f64 1 x) 1)
27.0ms	(log.f64 (-.f64 (/.f64 1 x) 1))

Compiler

Compiled 193 to 175 computations (9.3% saved)

simplify122.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

599×	`times-frac_binary64`
298×	`distribute-rgt-in_binary64`
260×	`distribute-rgt-neg-in_binary64`
249×	`unsub-neg_binary64`
226×	`sub-neg_binary64` `distribute-lft-neg-in_binary64`
224×	`distribute-lft-in_binary64`
197×	`neg-sub0_binary64`
185×	`neg-mul-1_binary64`
162×	`associate-l_binary64`
141×	`div-sub_binary64`
125×	`distribute-rgt-out_binary64` `associate-/l/_binary64`
123×	`distribute-neg-in_binary64`
122×	`associate-r_binary64`
105×	`cancel-sign-sub-inv_binary64`
88×	`associate-+l-_binary64`
76×	`unswap-sqr_binary64`
72×	`associate-+l+_binary64`
70×	`log-prod_binary64` `*-commutative_binary64`
65×	`associate-*l/_binary64`
63×	`associate-+r+_binary64`
62×	`distribute-lft-out_binary64` `associate--r+_binary64`
58×	`distribute-neg-frac_binary64`
49×	`distribute-rgt-out--_binary64`
43×	`distribute-lft-neg-out_binary64`
39×	`+-commutative_binary64`
38×	`sub0-neg_binary64` `sqr-pow_binary64` `distribute-lft-out--_binary64`
35×	`distribute-rgt-neg-out_binary64`
34×	`cube-prod_binary64` `associate-*r/_binary64`
31×	`exp-sum_binary64`
30×	`associate-/r*_binary64`
29×	`associate-/l*_binary64`
23×	`cancel-sign-sub_binary64`
22×	`exp-prod_binary64` `associate-+r-_binary64`
21×	`cube-div_binary64`
20×	`associate--l+_binary64`
17×	`pow-plus_binary64` `*-lft-identity_binary64`
16×	`log-div_binary64` `cube-unmult_binary64`
15×	`--rgt-identity_binary64` `associate--r-_binary64`
14×	`remove-double-neg_binary64` `distribute-rgt1-in_binary64`
12×	`unpow3_binary64` `*-rgt-identity_binary64` `+-rgt-identity_binary64`
11×	`mul-1-neg_binary64` `distribute-neg-out_binary64` `associate-/r/_binary64`
10×	`log-pow_binary64`
9×	`distribute-lft1-in_binary64`
8×	`swap-sqr_binary64`
6×	`rem-sqrt-square_binary64` `count-2_binary64`
5×	`cube-mult_binary64` `sqr-neg_binary64` `associate--l-_binary64`
4×	`pow-sqr_binary64` `difference-of-sqr-1_binary64`
3×	`log-rec_binary64` `unpow1/2_binary64` `prod-exp_binary64` `/-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `difference-of-sqr--1_binary64`
2×	`exp-diff_binary64` `exp-neg_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `distribute-frac-neg_binary64`
1×	`unpow2_binary64` `exp-to-pow_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `difference-of-squares_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` `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-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64`

Counts

62 → 35

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	866
1	148	824
2	317	813
3	701	811
4	1871	811
5	4335	811
6	5000	811
7	4915	811

prune36.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Error

0.0b

Counts

36 → 2

Compiler

Compiled 482 to 385 computations (20.1% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (/.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))) (+.f64 1 (/.f64 1 x))))
0.1b	(/.f64 1 (*.f64 x x))
30.7b	(/.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))) (+.f64 1 (/.f64 1 x)))

rewrite250.0ms (7.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

94×	`*-un-lft-identity_binary64`
53×	`times-frac_binary64`
44×	`distribute-lft-out_binary64`
31×	`log-prod_binary64`
28×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
25×	`div-inv_binary64`
19×	`add-exp-log_binary64`
12×	`pow1_binary64`
10×	`add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`div-exp_binary64` `associate-/r*_binary64` `pow-flip_binary64`
4×	`associate-/r/_binary64`
3×	`add-log-exp_binary64` `cbrt-undiv_binary64` `flip3-+_binary64` `flip-+_binary64` `prod-exp_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64` `1-exp_binary64` `rec-exp_binary64` `rem-log-exp_binary64`
1×	`inv-pow_binary64` `pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `log-div_binary64`

Counts

3 → 125

Calls

3 calls:

17.0ms	(/.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))) (+.f64 1 (/.f64 1 x)))
13.0ms	(log.f64 (/.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))) (+.f64 1 (/.f64 1 x))))
5.0ms	(/.f64 1 (*.f64 x x))

Compiler

Compiled 3109 to 2373 computations (23.7% saved)

series142.0ms (4.3%)

Error

0.0b

Counts

3 → 15

Calls

3 calls:

67.0ms	(/.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))) (+.f64 1 (/.f64 1 x)))
35.0ms	(log.f64 (/.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))) (+.f64 1 (/.f64 1 x))))
29.0ms	(/.f64 1 (*.f64 x x))

Compiler

Compiled 328 to 298 computations (9.1% saved)

simplify145.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

416×	`cancel-sign-sub-inv_binary64`
365×	`div-sub_binary64`
290×	`sub-neg_binary64`
240×	`times-frac_binary64`
180×	`unsub-neg_binary64`
179×	`associate-l_binary64`
169×	`distribute-rgt-in_binary64`
156×	`log-div_binary64`
152×	`associate-r_binary64`
144×	`associate-/l*_binary64`
134×	`unswap-sqr_binary64`
126×	`log-prod_binary64`
124×	`distribute-lft-in_binary64`
115×	`associate-/r_binary64` `associate-l/_binary64`
86×	`associate-*r/_binary64`
83×	`*-commutative_binary64`
82×	`neg-sub0_binary64`
76×	`prod-exp_binary64` `associate-+r+_binary64`
71×	`associate-+l+_binary64`
69×	`exp-prod_binary64`
67×	`associate-+l-_binary64`
66×	`neg-mul-1_binary64` `associate-+r-_binary64`
61×	`associate-/l/_binary64` `+-commutative_binary64`
60×	`div-exp_binary64`
48×	`associate--l-_binary64`
42×	`cube-prod_binary64`
41×	`sqr-pow_binary64`
39×	`associate--r+_binary64`
38×	`distribute-neg-in_binary64`
36×	`associate-/r/_binary64`
30×	`swap-sqr_binary64`
28×	`associate--l+_binary64`
26×	`*-rgt-identity_binary64`
24×	`exp-sum_binary64`
23×	`unpow3_binary64` `*-lft-identity_binary64` `distribute-rgt-neg-in_binary64`
21×	`cube-div_binary64` `distribute-lft-neg-in_binary64`
19×	`exp-diff_binary64`
18×	`distribute-lft-neg-out_binary64`
17×	`sub0-neg_binary64`
16×	`log-rec_binary64` `pow-plus_binary64` `+-rgt-identity_binary64` `distribute-rgt-neg-out_binary64`
15×	`/-rgt-identity_binary64`
14×	`distribute-rgt-out_binary64`
13×	`difference-of-squares_binary64`
12×	`cube-unmult_binary64` `mul-1-neg_binary64`
11×	`rec-exp_binary64`
10×	`div0_binary64` `distribute-neg-frac_binary64`
7×	`count-2_binary64`
6×	`log-pow_binary64` `sqr-neg_binary64` `remove-double-div_binary64` `distribute-rgt1-in_binary64`
5×	`rem-exp-log_binary64` `pow-sqr_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
4×	`cube-mult_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `distribute-frac-neg_binary64`
3×	`unpow1/2_binary64` `cube-neg_binary64` `rem-sqrt-square_binary64` `+-lft-identity_binary64` `associate--r-_binary64`
2×	`unpow2_binary64` `exp-to-pow_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `difference-of-sqr--1_binary64` `distribute-neg-out_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-inverses_binary64` `distribute-lft1-in_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` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_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-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64`

Counts

140 → 100

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	3198
1	355	2978
2	896	2876
3	2911	2456
4	4670	2456
5	4925	2456

prune116.0ms (3.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	100	2	102

Error

Counts

102 → 2

Compiler

Compiled 1699 to 1354 computations (20.3% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (sqrt.f64 (-.f64 (/.f64 1 x) 1)))
0.0b	(log.f64 (sqrt.f64 (-.f64 (/.f64 1 x) 1)))
0.1b	(sqrt.f64 (-.f64 (/.f64 1 x) 1))
0.1b	(sqrt.f64 (-.f64 (/.f64 1 x) 1))

rewrite239.0ms (7.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

72×	`add-sqr-sqrt_binary64`
56×	`sqrt-prod_binary64`
46×	`*-un-lft-identity_binary64`
34×	`log-prod_binary64`
24×	`times-frac_binary64` `difference-of-squares_binary64`
12×	`difference-of-sqr-1_binary64`
10×	`pow1_binary64` `add-cube-cbrt_binary64`
8×	`sqrt-div_binary64` `distribute-lft-out--_binary64`
6×	`add-exp-log_binary64` `log-pow_binary64`
4×	`pow1/2_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `div-inv_binary64` `log-div_binary64`
2×	`rem-sqrt-square_binary64` `rem-log-exp_binary64`

Counts

4 → 112

Calls

4 calls:

11.0ms	(sqrt.f64 (-.f64 (/.f64 1 x) 1))
9.0ms	(log.f64 (sqrt.f64 (-.f64 (/.f64 1 x) 1)))
9.0ms	(log.f64 (sqrt.f64 (-.f64 (/.f64 1 x) 1)))
8.0ms	(sqrt.f64 (-.f64 (/.f64 1 x) 1))

Compiler

Compiled 2766 to 2402 computations (13.2% saved)

series97.0ms (3%)

Error

Counts

4 → 12

Calls

4 calls:

26.0ms	(log.f64 (sqrt.f64 (-.f64 (/.f64 1 x) 1)))
22.0ms	(log.f64 (sqrt.f64 (-.f64 (/.f64 1 x) 1)))
20.0ms	(sqrt.f64 (-.f64 (/.f64 1 x) 1))
17.0ms	(sqrt.f64 (-.f64 (/.f64 1 x) 1))

Compiler

Compiled 536 to 497 computations (7.3% saved)

simplify214.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

452×	`unswap-sqr_binary64`
411×	`associate-l_binary64`
320×	`associate-r_binary64`
284×	`distribute-rgt-out_binary64`
272×	`sub-neg_binary64`
271×	`times-frac_binary64`
176×	`distribute-rgt-in_binary64`
153×	`distribute-lft-in_binary64`
142×	`distribute-lft-out_binary64`
138×	`associate--l+_binary64`
131×	`associate-/r*_binary64`
126×	`unsub-neg_binary64`
123×	`associate-/l*_binary64`
116×	`cancel-sign-sub-inv_binary64`
97×	`neg-sub0_binary64`
95×	`associate-/l/_binary64`
84×	`neg-mul-1_binary64`
81×	`associate-+l+_binary64`
79×	`*-commutative_binary64`
73×	`cube-prod_binary64`
67×	`associate-/r/_binary64`
66×	`associate-*l/_binary64`
61×	`div-sub_binary64`
60×	`associate--l-_binary64` `associate-+r+_binary64`
56×	`unpow3_binary64` `associate--r-_binary64`
51×	`sqr-pow_binary64`
49×	`distribute-neg-in_binary64`
48×	`associate-*r/_binary64`
46×	`distribute-rgt-neg-in_binary64`
40×	`log-prod_binary64` `pow-plus_binary64` `*-rgt-identity_binary64`
38×	`associate-+l-_binary64`
37×	`*-lft-identity_binary64`
31×	`exp-sum_binary64` `cube-div_binary64` `+-commutative_binary64`
24×	`cube-unmult_binary64`
21×	`cube-mult_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64`
19×	`distribute-rgt-out--_binary64`
17×	`mul-1-neg_binary64` `associate-+r-_binary64`
16×	`exp-prod_binary64` `distribute-lft-neg-out_binary64`
15×	`log-pow_binary64`
12×	`sub0-neg_binary64` `distribute-neg-frac_binary64`
11×	`distribute-lft1-in_binary64` `associate--r+_binary64`
8×	`+-rgt-identity_binary64` `pow-sqr_binary64` `distribute-neg-out_binary64`
7×	`prod-exp_binary64` `rem-sqrt-square_binary64`
6×	`/-rgt-identity_binary64` `difference-of-sqr-1_binary64` `swap-sqr_binary64`
5×	`exp-to-pow_binary64` `distribute-rgt-neg-out_binary64`
4×	`exp-lft-sqr_binary64` `rem-exp-log_binary64` `difference-of-sqr--1_binary64` `distribute-lft-out--_binary64` `count-2_binary64`
3×	`unpow2_binary64`
2×	`unpow1/2_binary64` `unpow1_binary64` `exp-sqrt_binary64` `cube-neg_binary64` `remove-double-neg_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `cancel-sign-sub_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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `+-lft-identity_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `distribute-frac-neg_binary64`

Counts

124 → 98

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	2128
1	103	2050
2	161	2038
3	234	2038
4	356	2038
5	706	2038
6	1969	2038
7	4602	2038
8	4755	2038
9	4947	2038
10	4875	2038

prune159.0ms (4.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	2	100

Error

Counts

100 → 2

Compiler

Compiled 2306 to 1988 computations (13.8% saved)

regimes227.0ms (7%)

Accuracy

Total 0.0b remaining (96%)

Threshold costs 0.0b (96%)

Compiler

Compiled 2054 to 1739 computations (15.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`neg-mul-1_binary64` `neg-sub0_binary64` `+-commutative_binary64`
3×	`sub-neg_binary64` `-rgt-identity_binary64` `-commutative_binary64`
2×	`distribute-rgt-neg-out_binary64`
1×	`1-exp_binary64` `unsub-neg_binary64` `*-lft-identity_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `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` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	18	35
2	23	35
3	26	35
4	33	35
5	32	35
6	30	35

end0.0ms (0%)

sample914.0ms (28%)

Algorithm

1×

intervals

Results

287.0ms	8000×	body	128	valid
0.0ms	3×	body	128	nan

Compiler

Compiled 432 to 368 computations (14.8% saved)

Details

analyze376.0ms (11.5%)

sample20.0ms (0.6%)

simplify10.0ms (0.3%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite89.0ms (2.7%)

series74.0ms (2.3%)

simplify122.0ms (3.7%)

prune36.0ms (1.1%)

localize10.0ms (0.3%)

rewrite250.0ms (7.7%)

series142.0ms (4.3%)

simplify145.0ms (4.5%)

prune116.0ms (3.6%)

localize8.0ms (0.3%)

rewrite239.0ms (7.3%)

series97.0ms (3%)

simplify214.0ms (6.6%)

prune159.0ms (4.9%)

regimes227.0ms (7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample914.0ms (28%)

Profiling