Details

analyze661.0ms (14.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

7×	`+-commutative_binary64`
4×	`associate-+l+_binary64`
1×	`swap-x-y` `swap-x-z`
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` `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` `associate-+r+_binary64` `-commutative_binary64` `swap-y-z`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	72
1	20	72
2	20	72
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
28.1%	71.8%	0.1%	9
42.1%	57.7%	0.1%	10
49.1%	50.7%	0.1%	11
57.3%	42.5%	0.1%	12
66.9%	33%	0.1%	13
71.7%	28.2%	0.1%	14

Symmetry

(sort x y z)

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample35.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
3×	`associate-+l+_binary64` `associate-+r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `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` `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` `-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	14	18
2	20	18
3	20	18
4	20	18

prune2.0ms (0%)

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

33.8b

Counts

1 → 1

Compiler

Compiled 12 to 9 computations (25% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y y))
0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
31.6b	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))

rewrite56.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

33.8b

Rules

10×	`add-log-exp_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`pow1_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `sum-log_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `flip-+_binary64` `sqrt-prod_binary64`
2×	`sqrt-div_binary64` `+-commutative_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `associate-+l+_binary64`

Counts

3 → 39

Calls

3 calls:

6.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
6.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
4.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 883 to 154 computations (82.6% saved)

series188.0ms (4%)

Error

0.6b

Counts

3 → 50

Calls

3 calls:

85.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
47.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
27.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 1837 to 1613 computations (12.2% saved)

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

656×	`associate-/l*_binary64`
396×	`associate-/r*_binary64`
381×	`distribute-rgt-in_binary64`
324×	`distribute-lft-in_binary64`
224×	`cancel-sign-sub-inv_binary64`
122×	`distribute-rgt-neg-in_binary64`
120×	`sub-neg_binary64`
117×	`times-frac_binary64`
110×	`unswap-sqr_binary64` `distribute-lft-neg-in_binary64`
101×	`associate-r_binary64`
96×	`associate-/r/_binary64`
81×	`*-commutative_binary64`
67×	`associate-l_binary64`
60×	`+-commutative_binary64`
48×	`sqr-pow_binary64`
45×	`neg-sub0_binary64`
42×	`neg-mul-1_binary64`
36×	`distribute-neg-in_binary64`
33×	`distribute-neg-frac_binary64` `associate--r+_binary64` `associate-+l+_binary64`
32×	`associate--l+_binary64`
27×	`distribute-rgt-out_binary64`
26×	`unsub-neg_binary64`
25×	`distribute-lft-out_binary64`
21×	`associate-+r+_binary64`
18×	`associate-l/_binary64` `associate-r/_binary64`
15×	`distribute-rgt-out--_binary64` `associate-/l/_binary64`
14×	`distribute-lft-neg-out_binary64`
13×	`difference-of-squares_binary64`
9×	`unpow3_binary64` `cube-mult_binary64`
7×	`pow-plus_binary64` `exp-prod_binary64` `pow-sqr_binary64`
6×	`cube-prod_binary64`
5×	`prod-exp_binary64` `cube-unmult_binary64`
4×	`exp-sum_binary64` `associate-+r-_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `mul-1-neg_binary64`
2×	`rem-sqrt-square_binary64` `+-rgt-identity_binary64` `distribute-rgt-neg-out_binary64` `associate-+l-_binary64`
1×	`log-prod_binary64` `1-exp_binary64` `rem-square-sqrt_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` `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` `cube-div_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` `div-sub_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

89 → 76

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	1781
1	464	1714
2	1756	1679
3	5006	1679

prune42.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	4	77

Error

3.6b

Counts

77 → 4

Compiler

Compiled 1025 to 313 computations (69.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 z (.f64 1/2 (+.f64 (/.f64 (.f64 x x) z) (/.f64 (*.f64 y y) z))))
0.0b	(+.f64 (/.f64 (.f64 x x) z) (/.f64 (.f64 y y) z))
5.3b	(/.f64 (*.f64 x x) z)
7.1b	(/.f64 (*.f64 y y) z)

rewrite80.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`*-un-lft-identity_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`times-frac_binary64` `associate-/r*_binary64`
4×	`pow1_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l*_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `associate-+r+_binary64`
1×	`frac-add_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`

Counts

4 → 69

Calls

4 calls:

8.0ms	(+.f64 (/.f64 (.f64 x x) z) (/.f64 (.f64 y y) z))
5.0ms	(/.f64 (*.f64 y y) z)
4.0ms	(/.f64 (*.f64 x x) z)
4.0ms	(+.f64 z (.f64 1/2 (+.f64 (/.f64 (.f64 x x) z) (/.f64 (*.f64 y y) z))))

Compiler

Compiled 1568 to 479 computations (69.5% saved)

series167.0ms (3.6%)

Error

0.9b

Counts

4 → 41

Calls

4 calls:

76.0ms	(+.f64 z (.f64 1/2 (+.f64 (/.f64 (.f64 x x) z) (/.f64 (*.f64 y y) z))))
42.0ms	(+.f64 (/.f64 (.f64 x x) z) (/.f64 (.f64 y y) z))
20.0ms	(/.f64 (*.f64 x x) z)
19.0ms	(/.f64 (*.f64 y y) z)

Compiler

Compiled 1098 to 939 computations (14.5% saved)

simplify116.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

467×	`associate-/l*_binary64`
418×	`associate-*l/_binary64`
410×	`times-frac_binary64`
404×	`distribute-rgt-in_binary64`
381×	`distribute-lft-in_binary64`
311×	`associate-/l/_binary64`
165×	`associate-/r*_binary64`
155×	`associate-/r/_binary64`
85×	`neg-mul-1_binary64`
61×	`associate-*r/_binary64`
58×	`cancel-sign-sub-inv_binary64`
52×	`associate-l_binary64`
51×	`distribute-neg-frac_binary64`
50×	`distribute-rgt-neg-in_binary64`
48×	`div-sub_binary64` `sub-neg_binary64`
44×	`log-div_binary64` `*-commutative_binary64`
40×	`cube-div_binary64` `distribute-lft-neg-in_binary64`
38×	`associate-r_binary64`
34×	`sqr-pow_binary64`
31×	`unswap-sqr_binary64`
29×	`log-prod_binary64` `+-commutative_binary64`
28×	`cube-prod_binary64` `distribute-neg-in_binary64`
23×	`exp-prod_binary64`
22×	`neg-sub0_binary64`
18×	`distribute-lft-neg-out_binary64`
17×	`unpow3_binary64`
16×	`distribute-rgt-out_binary64`
10×	`exp-sum_binary64` `cube-mult_binary64`
8×	`pow-plus_binary64` `distribute-rgt-out--_binary64`
6×	`log-pow_binary64` `swap-sqr_binary64` `distribute-rgt-neg-out_binary64`
5×	`unpow1/2_binary64` `pow-sqr_binary64`
4×	`/-rgt-identity_binary64` `*-rgt-identity_binary64` `distribute-lft-out_binary64` `associate--l+_binary64` `associate-+l+_binary64`
3×	`cube-unmult_binary64`
2×	`log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `rem-sqrt-square_binary64` `unsub-neg_binary64` `*-lft-identity_binary64` `difference-of-squares_binary64` `count-2_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`1-exp_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` `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` `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-square-sqrt_binary64` `mul-1-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

110 → 77

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	141	1660
1	370	1561
2	1176	1561
3	4772	1561
4	4999	1561
5	4968	1561

prune33.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	77	4	81

Error

0.7b

Counts

81 → 4

Compiler

Compiled 831 to 275 computations (66.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (/.f64 x z)) (/.f64 (.f64 y y) z))
0.0b	(+.f64 z (.f64 1/2 (+.f64 (.f64 x (/.f64 x z)) (/.f64 (*.f64 y y) z))))
0.1b	(*.f64 x (/.f64 x z))
7.1b	(/.f64 (*.f64 y y) z)

rewrite87.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

19×	`add-sqr-sqrt_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
13×	`times-frac_binary64` `associate-r_binary64`
8×	`add-log-exp_binary64`
6×	`pow1_binary64`
3×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `associate-/r_binary64` `associate-l*_binary64`
2×	`div-inv_binary64` `unswap-sqr_binary64` `associate-*r/_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+r+_binary64` `+-commutative_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `pow-prod-down_binary64` `-commutative_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `frac-add_binary64`

Counts

4 → 78

Calls

4 calls:

7.0ms	(*.f64 x (/.f64 x z))
7.0ms	(+.f64 (.f64 x (/.f64 x z)) (/.f64 (.f64 y y) z))
4.0ms	(/.f64 (*.f64 y y) z)
3.0ms	(+.f64 z (.f64 1/2 (+.f64 (.f64 x (/.f64 x z)) (/.f64 (*.f64 y y) z))))

Compiler

Compiled 1788 to 549 computations (69.3% saved)

series167.0ms (3.6%)

Error

0.7b

Counts

4 → 41

Calls

4 calls:

77.0ms	(+.f64 z (.f64 1/2 (+.f64 (.f64 x (/.f64 x z)) (/.f64 (*.f64 y y) z))))
42.0ms	(+.f64 (.f64 x (/.f64 x z)) (/.f64 (.f64 y y) z))
19.0ms	(/.f64 (*.f64 y y) z)
19.0ms	(*.f64 x (/.f64 x z))

Compiler

Compiled 1098 to 939 computations (14.5% saved)

simplify124.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

504×	`associate-/l*_binary64`
475×	`times-frac_binary64`
410×	`distribute-rgt-in_binary64`
387×	`distribute-lft-in_binary64`
239×	`associate-/l/_binary64`
172×	`associate-/r*_binary64`
131×	`associate-/r/_binary64`
120×	`associate-l_binary64`
92×	`neg-mul-1_binary64`
91×	`neg-sub0_binary64`
89×	`associate-r_binary64`
84×	`cancel-sign-sub-inv_binary64`
82×	`sqr-pow_binary64`
77×	`*-commutative_binary64`
76×	`associate-*r/_binary64`
68×	`distribute-rgt-neg-in_binary64`
67×	`sub-neg_binary64`
66×	`log-div_binary64`
63×	`associate-*l/_binary64`
53×	`distribute-lft-neg-in_binary64`
48×	`unsub-neg_binary64`
46×	`distribute-neg-frac_binary64`
45×	`exp-prod_binary64`
44×	`log-prod_binary64`
43×	`unswap-sqr_binary64`
37×	`/-rgt-identity_binary64`
35×	`*-lft-identity_binary64`
32×	`cube-div_binary64`
31×	`unpow3_binary64` `cube-prod_binary64`
29×	`div-sub_binary64` `+-commutative_binary64`
28×	`distribute-neg-in_binary64`
27×	`*-rgt-identity_binary64`
23×	`cube-mult_binary64`
22×	`distribute-rgt-out_binary64`
18×	`distribute-lft-neg-out_binary64`
12×	`pow-sqr_binary64` `swap-sqr_binary64`
11×	`distribute-rgt-out--_binary64`
10×	`log-rec_binary64` `exp-sum_binary64`
9×	`pow-plus_binary64`
8×	`distribute-lft-out_binary64`
7×	`log-pow_binary64` `unpow1/2_binary64` `remove-double-div_binary64`
6×	`distribute-rgt-neg-out_binary64`
5×	`associate-+l+_binary64`
4×	`prod-exp_binary64`
3×	`cube-unmult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64` `count-2_binary64` `associate--r+_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

119 → 89

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	1770
1	428	1656
2	1425	1653
3	4594	1645
4	4911	1645
5	4951	1645

prune37.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	90	3	93

Error

0.5b

Counts

93 → 3

Compiler

Compiled 1019 to 337 computations (66.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (/.f64 x z)) (.f64 y (/.f64 y z)))
0.0b	(+.f64 z (.f64 1/2 (+.f64 (.f64 x (/.f64 x z)) (*.f64 y (/.f64 y z)))))
0.1b	(*.f64 x (/.f64 x z))
0.1b	(*.f64 y (/.f64 y z))

rewrite93.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

30×	`add-sqr-sqrt_binary64`
26×	`associate-r_binary64`
20×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `times-frac_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64` `add-log-exp_binary64`
6×	`associate-l_binary64`
4×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `associate-*r/_binary64`
2×	`pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `*-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+r+_binary64` `+-commutative_binary64`
1×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `frac-add_binary64`

Counts

4 → 89

Calls

4 calls:

7.0ms	(*.f64 y (/.f64 y z))
7.0ms	(*.f64 x (/.f64 x z))
6.0ms	(+.f64 (.f64 x (/.f64 x z)) (.f64 y (/.f64 y z)))
3.0ms	(+.f64 z (.f64 1/2 (+.f64 (.f64 x (/.f64 x z)) (*.f64 y (/.f64 y z)))))

Compiler

Compiled 2023 to 625 computations (69.1% saved)

series161.0ms (3.5%)

Error

0.5b

Counts

4 → 41

Calls

4 calls:

74.0ms	(+.f64 z (.f64 1/2 (+.f64 (.f64 x (/.f64 x z)) (*.f64 y (/.f64 y z)))))
43.0ms	(+.f64 (.f64 x (/.f64 x z)) (.f64 y (/.f64 y z)))
19.0ms	(*.f64 y (/.f64 y z))
18.0ms	(*.f64 x (/.f64 x z))

Compiler

Compiled 1098 to 939 computations (14.5% saved)

simplify126.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

523×	`associate-/l*_binary64`
514×	`times-frac_binary64`
413×	`distribute-rgt-in_binary64`
391×	`distribute-lft-in_binary64`
181×	`associate-l_binary64`
178×	`associate-/l/_binary64`
149×	`associate-r_binary64`
117×	`cancel-sign-sub-inv_binary64`
104×	`*-commutative_binary64`
103×	`associate-/r/_binary64`
100×	`neg-mul-1_binary64`
98×	`neg-sub0_binary64`
97×	`distribute-rgt-neg-in_binary64`
86×	`associate-*r/_binary64`
74×	`distribute-lft-neg-in_binary64`
59×	`exp-prod_binary64`
58×	`unswap-sqr_binary64` `associate-*l/_binary64`
48×	`log-div_binary64`
44×	`sqr-pow_binary64`
40×	`sub-neg_binary64`
39×	`log-prod_binary64`
37×	`distribute-neg-frac_binary64`
35×	`distribute-rgt-out_binary64`
34×	`cube-prod_binary64`
32×	`*-rgt-identity_binary64`
31×	`*-lft-identity_binary64`
30×	`+-commutative_binary64`
29×	`associate-/r*_binary64`
28×	`distribute-neg-in_binary64`
26×	`cube-div_binary64`
22×	`distribute-lft-neg-out_binary64`
18×	`swap-sqr_binary64` `distribute-rgt-out--_binary64`
17×	`div-sub_binary64`
13×	`log-rec_binary64` `unpow3_binary64`
12×	`/-rgt-identity_binary64` `distribute-lft-out_binary64`
10×	`exp-sum_binary64`
8×	`log-pow_binary64`
7×	`unpow1/2_binary64` `pow-sqr_binary64`
6×	`pow-plus_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64` `associate-+l+_binary64`
4×	`cube-mult_binary64` `rem-sqrt-square_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
3×	`cube-unmult_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `difference-of-squares_binary64` `count-2_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `exp-1-e_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` `div-exp_binary64` `rec-exp_binary64` `exp-diff_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-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

130 → 102

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	1906
1	475	1774
2	1662	1774
3	4742	1758
4	4992	1758
5	4973	1758

prune41.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	102	3	105

Error

0.5b

Counts

105 → 3

Compiler

Compiled 1237 to 404 computations (67.3% saved)

regimes1.1s (23.3%)

Accuracy

Total 10.8b remaining (96.8%)

Threshold costs 0b (0%)

Compiler

Compiled 6037 to 4550 computations (24.6% saved)

bsearch27.0ms (0.6%)

Steps

Iters	Range		Point
5	-1.1667055955255025e-132	-4.896395529427144e-133	-4.966071065003465e-133
5	-1.0790005359775929e+133	-3.522325183863099e+132	-1.0642758757813286e+133

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
3×	`*-commutative_binary64`
1×	`1-exp_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `sub-neg_binary64` `/-rgt-identity_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` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	55
1	38	55
2	40	55
3	41	55
4	40	55

end15.0ms (0.3%)

Compiler: Compiled 111 to 69 computations (37.8% saved)

sample1.2s (25.8%)

Algorithm

1×

intervals

Results

350.0ms

8000×

body

128

valid

Compiler

Compiled 105 to 88 computations (16.2% saved)

Details

analyze661.0ms (14.2%)

sample35.0ms (0.7%)

simplify10.0ms (0.2%)

prune2.0ms (0%)

localize8.0ms (0.2%)

rewrite56.0ms (1.2%)

series188.0ms (4%)

simplify69.0ms (1.5%)

prune42.0ms (0.9%)

localize10.0ms (0.2%)

rewrite80.0ms (1.7%)

series167.0ms (3.6%)

simplify116.0ms (2.5%)

prune33.0ms (0.7%)

localize9.0ms (0.2%)

rewrite87.0ms (1.9%)

series167.0ms (3.6%)

simplify124.0ms (2.7%)

prune37.0ms (0.8%)

localize11.0ms (0.2%)

rewrite93.0ms (2%)

series161.0ms (3.5%)

simplify126.0ms (2.7%)

prune41.0ms (0.9%)

regimes1.1s (23.3%)

bsearch27.0ms (0.6%)

simplify5.0ms (0.1%)

end15.0ms (0.3%)

sample1.2s (25.8%)

Profiling