Details

analyze356.0ms (6.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

7×	`*-commutative_binary64`
4×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`+-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` `1-exp_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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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` `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` `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` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	46
1	34	46
2	34	46
3	34	46
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
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
68.7%	31.2%	0.1%	7
68.7%	31.2%	0.1%	8
71.8%	28.1%	0.1%	9
71.8%	28.1%	0.1%	10
73.4%	26.5%	0.1%	11
73.4%	26.5%	0.1%	12
74.1%	25.8%	0.1%	13
74.1%	25.8%	0.1%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample31.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	191×	body	128	valid
4.0ms	16×	body	4096	valid
4.0ms	16×	body	2048	valid
3.0ms	18×	body	1024	valid
1.0ms	10×	body	512	valid
0.0ms	5×	body	256	valid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`distribute-rgt-in_binary64` `distribute-lft-in_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` `1-exp_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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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` `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` `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` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	23	23
2	23	23
3	23	23

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

37.5b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
1.3b	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
27.4b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite100.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

37.2b

Rules

7×	`pow1_binary64`
6×	`*-un-lft-identity_binary64`
5×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64` `sqrt-div_binary64` `sqrt-prod_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `flip3-+_binary64` `flip-+_binary64`
2×	`pow1/2_binary64` `associate-*r/_binary64`
1×	`rem-sqrt-square_binary64` `sum-log_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `pow-prod-down_binary64`

Counts

3 → 40

Calls

3 calls:

8.0ms	(sqrt.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
7.0ms	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 969 to 334 computations (65.5% saved)

series127.0ms (2.2%)

Error

7.4b

Counts

3 → 40

Calls

3 calls:

40.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
31.0ms	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
29.0ms	(sqrt.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))

Compiler

Compiled 1496 to 1311 computations (12.4% saved)

simplify93.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

441×	`distribute-rgt-neg-in_binary64`
332×	`unswap-sqr_binary64`
317×	`associate-r_binary64`
292×	`distribute-neg-frac_binary64`
278×	`div-sub_binary64`
270×	`associate-l_binary64`
235×	`times-frac_binary64`
163×	`associate-/l*_binary64`
145×	`*-commutative_binary64`
136×	`sub-neg_binary64`
112×	`associate-/r*_binary64`
105×	`cancel-sign-sub-inv_binary64`
96×	`distribute-rgt-in_binary64`
93×	`neg-sub0_binary64`
83×	`neg-mul-1_binary64`
80×	`distribute-lft-in_binary64`
75×	`distribute-lft-neg-in_binary64`
67×	`associate-*l/_binary64`
55×	`+-commutative_binary64`
54×	`associate-*r/_binary64`
48×	`difference-of-squares_binary64`
47×	`sqr-pow_binary64`
43×	`associate-+l+_binary64`
41×	`distribute-lft-neg-out_binary64`
32×	`associate-+l-_binary64` `associate-+r-_binary64`
31×	`associate-+r+_binary64`
26×	`+-rgt-identity_binary64`
25×	`unsub-neg_binary64` `associate-/r/_binary64`
22×	`cube-unmult_binary64` `distribute-rgt-neg-out_binary64`
20×	`pow-plus_binary64`
18×	`cube-prod_binary64`
17×	`sub0-neg_binary64` `distribute-neg-in_binary64`
14×	`unpow3_binary64`
13×	`associate--l+_binary64`
10×	`mul-1-neg_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64`
8×	`distribute-frac-neg_binary64` `associate--r+_binary64`
6×	`rem-sqrt-square_binary64`
5×	`cube-mult_binary64`
4×	`cube-div_binary64` `pow-sqr_binary64` `cancel-sign-sub_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-prod_binary64` `rem-square-sqrt_binary64`
2×	`exp-sum_binary64` `+-inverses_binary64` `distribute-neg-out_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `sqr-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_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-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_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` `exp-diff_binary64` `exp-neg_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` `/-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` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `swap-sqr_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

80 → 57

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1379
1	328	1311
2	844	1287
3	3135	1281
4	4700	1281
5	5100	1281

prune48.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	49	8	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	9	58

Error

7.4b

Counts

58 → 9

Compiler

Compiled 984 to 539 computations (45.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
6.0b	(sqrt.f64 (.f64 2 (/.f64 (.f64 im im) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
20.4b	(/.f64 (.f64 im im) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))
27.4b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite107.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

7.2b

Rules

21×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64` `add-cube-cbrt_binary64`
7×	`sqrt-prod_binary64`
6×	`add-log-exp_binary64` `times-frac_binary64` `difference-of-squares_binary64` `associate-/r*_binary64`
3×	`sqrt-pow1_binary64` `sqrt-div_binary64` `distribute-lft-out--_binary64` `cancel-sign-sub-inv_binary64`
2×	`pow1/2_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `flip-+_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `diff-log_binary64` `sub-neg_binary64`

Counts

4 → 73

Calls

4 calls:

11.0ms	(/.f64 (.f64 im im) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))
11.0ms	(sqrt.f64 (.f64 2 (/.f64 (.f64 im im) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
8.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 1974 to 584 computations (70.4% saved)

series184.0ms (3.3%)

Error

7.4b

Counts

4 → 59

Calls

4 calls:

42.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
39.0ms	(/.f64 (.f64 im im) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))
36.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
36.0ms	(sqrt.f64 (.f64 2 (/.f64 (.f64 im im) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))

Compiler

Compiled 2342 to 1922 computations (17.9% saved)

simplify138.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

573×	`times-frac_binary64`
522×	`associate-/l*_binary64`
403×	`associate-l_binary64`
253×	`associate-/r*_binary64`
217×	`associate-*l/_binary64`
196×	`associate-/l/_binary64`
190×	`associate-*r/_binary64`
146×	`associate-/r/_binary64`
143×	`cancel-sign-sub-inv_binary64`
103×	`distribute-rgt-neg-in_binary64`
102×	`sub-neg_binary64`
89×	`distribute-lft-neg-in_binary64`
77×	`distribute-rgt-in_binary64`
65×	`*-commutative_binary64`
63×	`distribute-lft-in_binary64`
52×	`associate-r_binary64`
51×	`exp-prod_binary64` `distribute-neg-frac_binary64`
49×	`unswap-sqr_binary64`
46×	`+-commutative_binary64`
44×	`neg-sub0_binary64`
43×	`neg-mul-1_binary64`
31×	`sqr-pow_binary64`
28×	`log-div_binary64`
24×	`associate--r+_binary64`
21×	`unsub-neg_binary64`
20×	`distribute-neg-in_binary64`
18×	`div-sub_binary64`
17×	`log-prod_binary64`
16×	`associate-+l+_binary64`
15×	`associate--l+_binary64`
14×	`distribute-lft-neg-out_binary64`
13×	`pow-plus_binary64`
11×	`unpow3_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `associate-+r-_binary64`
10×	`*-rgt-identity_binary64`
8×	`cube-div_binary64` `cube-prod_binary64` `+-rgt-identity_binary64`
7×	`associate-+r+_binary64`
6×	`cube-unmult_binary64` `cube-mult_binary64` `distribute-rgt-neg-out_binary64`
5×	`rem-sqrt-square_binary64` `mul-1-neg_binary64`
4×	`log-pow_binary64` `rem-square-sqrt_binary64` `swap-sqr_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-sum_binary64` `associate-+l-_binary64`
2×	`log-rec_binary64` `exp-diff_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `pow-sqr_binary64` `count-2_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `+-inverses_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_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` `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` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_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-frac-neg_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64`

Counts

132 → 83

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	2629
1	454	2422
2	1324	2401
3	4920	2401
4	4992	2401
5	4938	2401

prune50.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	84	8	92

Error

7.1b

Counts

92 → 8

Compiler

Compiled 1305 to 670 computations (48.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 im (/.f64 im (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
0.3b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
6.0b	(sqrt.f64 (.f64 2 (.f64 im (/.f64 im (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))))
27.4b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite111.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

7.1b

Rules

39×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
24×	`associate-r_binary64`
19×	`times-frac_binary64`
17×	`add-cube-cbrt_binary64`
13×	`pow1_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`sqrt-prod_binary64` `difference-of-squares_binary64`
6×	`add-log-exp_binary64`
4×	`sqrt-pow1_binary64` `pow-prod-down_binary64` `distribute-lft-out--_binary64`
3×	`sqrt-div_binary64` `associate-r/_binary64` `cancel-sign-sub-inv_binary64` `associate-l*_binary64`
2×	`pow1/2_binary64` `flip3--_binary64` `flip--_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `flip-+_binary64` `rem-sqrt-square_binary64` `diff-log_binary64` `sub-neg_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

16.0ms	(.f64 im (/.f64 im (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
12.0ms	(sqrt.f64 (.f64 2 (.f64 im (/.f64 im (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))))
10.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 2364 to 714 computations (69.8% saved)

series190.0ms (3.3%)

Error

6.0b

Counts

4 → 59

Calls

4 calls:

44.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
41.0ms	(.f64 im (/.f64 im (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
37.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
35.0ms	(sqrt.f64 (.f64 2 (.f64 im (/.f64 im (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))))

Compiler

Compiled 2342 to 1944 computations (17% saved)

simplify171.0ms (3%)

Algorithm

1×	egg-herbie

Rules

783×	`times-frac_binary64`
572×	`associate-/l*_binary64`
278×	`associate-/r*_binary64`
262×	`associate-*l/_binary64`
161×	`div-sub_binary64`
141×	`cancel-sign-sub-inv_binary64`
124×	`associate-r_binary64`
115×	`associate-/l/_binary64` `associate-l_binary64`
104×	`distribute-rgt-neg-in_binary64`
102×	`associate-/r/_binary64`
96×	`*-commutative_binary64`
92×	`sub-neg_binary64`
88×	`distribute-lft-neg-in_binary64`
73×	`distribute-rgt-in_binary64`
58×	`unswap-sqr_binary64` `distribute-lft-in_binary64`
51×	`associate-*r/_binary64`
47×	`+-commutative_binary64`
39×	`exp-prod_binary64` `neg-sub0_binary64`
38×	`neg-mul-1_binary64`
37×	`distribute-neg-frac_binary64`
35×	`sqr-pow_binary64`
29×	`log-div_binary64` `*-rgt-identity_binary64`
23×	`cube-prod_binary64` `associate--r+_binary64`
22×	`log-prod_binary64`
21×	`*-lft-identity_binary64`
20×	`unsub-neg_binary64`
17×	`cube-div_binary64` `/-rgt-identity_binary64` `distribute-neg-in_binary64` `associate-+l+_binary64`
14×	`cube-unmult_binary64` `associate--l+_binary64`
13×	`distribute-lft-neg-out_binary64`
12×	`exp-sum_binary64` `distribute-rgt-out_binary64`
11×	`difference-of-squares_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
10×	`unpow3_binary64`
7×	`log-rec_binary64` `+-rgt-identity_binary64` `associate-+r+_binary64`
6×	`pow-plus_binary64` `exp-diff_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `swap-sqr_binary64` `distribute-rgt-neg-out_binary64`
5×	`rem-square-sqrt_binary64` `mul-1-neg_binary64`
4×	`log-pow_binary64` `unpow1/2_binary64` `associate-+l-_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `pow-sqr_binary64`
2×	`sub0-neg_binary64` `count-2_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `+-inverses_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_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` `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` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_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-frac-neg_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

147 → 93

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	210	2883
1	519	2655
2	1585	2634
3	4591	2620
4	4989	2620
5	4999	2620
6	4937	2620

prune53.0ms (0.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	92	9	101

Error

6.0b

Counts

101 → 9

Compiler

Compiled 1480 to 752 computations (49.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (sqrt.f64 (.f64 2 (.f64 im im))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))
0.3b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
27.4b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
28.0b	(sqrt.f64 (.f64 2 (.f64 im im)))

rewrite115.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

6.0b

Rules

51×	`add-sqr-sqrt_binary64`
50×	`sqrt-prod_binary64`
38×	`*-un-lft-identity_binary64`
36×	`times-frac_binary64`
26×	`add-cube-cbrt_binary64`
12×	`difference-of-squares_binary64`
11×	`pow1_binary64`
9×	`associate-/r*_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
4×	`sqrt-pow1_binary64` `sqrt-div_binary64` `associate-/l*_binary64`
3×	`pow-prod-down_binary64` `cancel-sign-sub-inv_binary64`
2×	`pow1/2_binary64` `flip3--_binary64` `flip--_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `flip-+_binary64` `rem-sqrt-square_binary64` `diff-log_binary64` `sub-neg_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `sqrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 108

Calls

4 calls:

15.0ms	(/.f64 (sqrt.f64 (.f64 2 (.f64 im im))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))
7.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
4.0ms	(sqrt.f64 (.f64 2 (.f64 im im)))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 2948 to 960 computations (67.4% saved)

series144.0ms (2.5%)

Error

1.4b

Counts

4 → 42

Calls

4 calls:

44.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
34.0ms	(/.f64 (sqrt.f64 (.f64 2 (.f64 im im))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))
32.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
9.0ms	(sqrt.f64 (.f64 2 (.f64 im im)))

Compiler

Compiled 1940 to 1567 computations (19.2% saved)

simplify214.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

405×	`associate-r_binary64`
403×	`times-frac_binary64`
386×	`associate-l_binary64`
317×	`associate-/l*_binary64`
212×	`associate-/r*_binary64`
170×	`sub-neg_binary64`
166×	`*-commutative_binary64`
113×	`associate-*l/_binary64`
106×	`neg-sub0_binary64`
100×	`cancel-sign-sub-inv_binary64`
99×	`neg-mul-1_binary64`
98×	`div-sub_binary64`
94×	`distribute-rgt-neg-in_binary64`
87×	`associate-*r/_binary64`
83×	`distribute-lft-neg-in_binary64`
80×	`associate-/l/_binary64`
65×	`+-commutative_binary64`
62×	`associate-/r/_binary64`
61×	`distribute-rgt-in_binary64`
56×	`distribute-lft-in_binary64`
47×	`unsub-neg_binary64`
41×	`unswap-sqr_binary64`
38×	`distribute-neg-frac_binary64` `associate-+l+_binary64`
36×	`associate-+l-_binary64`
34×	`associate-+r-_binary64`
32×	`sqr-pow_binary64`
29×	`exp-prod_binary64`
25×	`pow-plus_binary64`
24×	`associate-+r+_binary64`
20×	`unpow3_binary64`
16×	`exp-sum_binary64` `cube-unmult_binary64` `cube-prod_binary64`
13×	`distribute-lft-neg-out_binary64`
12×	`associate--l+_binary64`
11×	`difference-of-squares_binary64` `distribute-rgt-out_binary64` `associate--r+_binary64`
10×	`*-rgt-identity_binary64`
9×	`exp-diff_binary64` `rem-sqrt-square_binary64`
8×	`distribute-neg-in_binary64` `distribute-rgt-out--_binary64`
6×	`distribute-rgt-neg-out_binary64`
5×	`cube-mult_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `+-rgt-identity_binary64`
3×	`log-div_binary64` `log-prod_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `pow-sqr_binary64`
2×	`sub0-neg_binary64` `swap-sqr_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`
1×	`div-exp_binary64` `rec-exp_binary64` `1-exp_binary64` `cube-div_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `*-lft-identity_binary64` `+-inverses_binary64` `distribute-rgt1-in_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` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64`

Counts

150 → 90

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	4201
1	450	4028
2	1148	4007
3	4477	4007
4	4979	4007
5	4998	4007
6	4933	4007

prune51.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	86	4	90
Fresh	1	5	6
Picked	1	0	1
Done	1	1	2
Total	89	10	99

Error

1.4b

Counts

99 → 10

Compiler

Compiled 1538 to 661 computations (57% saved)

regimes1.9s (33.7%)

Accuracy

Total 18.4b remaining (93.2%)

Threshold costs 0b (0%)

Compiler

Compiled 13150 to 9431 computations (28.3% saved)

bsearch166.0ms (2.9%)

Steps

Iters	Range		Point
8	2.181053116301974e+100	3.386467408418213e+104	2.996337957612594e+104
9	3.677063038520368e-295	3.454896296846467e-289	3.918472623130481e-292
7	3.8192964898033413e-298	1.7162052691272083e-296	2.503501099244196e-297
8	-2.582056601586634e-294	-1.144424803960368e-298	-2.361083726192336e-294
8	-2.2545382688021624e-140	-7.318932849677907e-145	-7.505771444393745e-145
9	-4.526973202762646e+155	-1.1356758773009627e+150	-1.348090976184754e+154
10	-1.3171254319017756e+248	-2.9261371108043858e+230	-9.54588978322931e+243

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
7×	`+-commutative_binary64`
5×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`
1×	`mul-1-neg_binary64` `distribute-rgt-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` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-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-lft-neg-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	183
1	98	183
2	105	181
3	113	181
4	117	181
5	118	181
6	117	181

end3.0ms (0%)

Compiler: Compiled 119 to 84 computations (29.4% saved)

sample1.2s (21.8%)

Algorithm

1×

intervals

Results

291.0ms	6039×	body	128	valid
147.0ms	530×	body	4096	valid
143.0ms	604×	body	2048	valid
79.0ms	432×	body	1024	valid
34.0ms	260×	body	512	valid
12.0ms	135×	body	256	valid

Compiler

Compiled 324 to 249 computations (23.1% saved)

Details

analyze356.0ms (6.3%)

sample31.0ms (0.6%)

simplify9.0ms (0.2%)

prune5.0ms (0.1%)

localize10.0ms (0.2%)

rewrite100.0ms (1.8%)

series127.0ms (2.2%)

simplify93.0ms (1.6%)

prune48.0ms (0.8%)

localize11.0ms (0.2%)

rewrite107.0ms (1.9%)

series184.0ms (3.3%)

simplify138.0ms (2.4%)

prune50.0ms (0.9%)

localize13.0ms (0.2%)

rewrite111.0ms (2%)

series190.0ms (3.3%)

simplify171.0ms (3%)

prune53.0ms (0.9%)

localize12.0ms (0.2%)

rewrite115.0ms (2%)

series144.0ms (2.5%)

simplify214.0ms (3.8%)

prune51.0ms (0.9%)

regimes1.9s (33.7%)

bsearch166.0ms (2.9%)

simplify11.0ms (0.2%)

end3.0ms (0%)

sample1.2s (21.8%)

Profiling