Details

analyze2.0s (19.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

44×	`*-commutative_binary64`
24×	`associate-l_binary64` `associate-r_binary64`
4×	`associate-/l/_binary64` `associate-/r*_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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-/r/_binary64` `associate-/l_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	57	184
1	101	184
2	161	184
3	161	184
4	161	184
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
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
16.4%	83.5%	0.1%	9
24.6%	75.3%	0.1%	10
28.7%	71.2%	0.1%	11
30.7%	69.1%	0.1%	12
35.8%	64%	0.1%	13
38.4%	61.5%	0.1%	14

Compiler

Compiled 29 to 18 computations (37.9% saved)

sample126.0ms (1.2%)

Algorithm

1×

intervals

Results

62.0ms	70×	body	1024	valid
25.0ms	146×	body	128	valid
19.0ms	24×	body	512	valid
6.0ms	15×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
6×	`associate-l_binary64` `associate-r_binary64`
1×	`associate-/l/_binary64` `associate-/r*_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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-/r/_binary64` `associate-/l_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 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	29	46
2	44	46
3	44	46
4	44	46

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

0.1b

Counts

1 → 1

Compiler

Compiled 28 to 17 computations (39.3% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 eh (cos.f64 t))
2.8b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.8b	(/.f64 (/.f64 eh ew) (tan.f64 t))
33.3b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite254.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

150×	`times-frac_binary64`
92×	`add-sqr-sqrt_binary64`
90×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
26×	`associate-/l*_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`div-inv_binary64`
6×	`pow1_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/r*_binary64`
4×	`add-log-exp_binary64`
3×	`associate-l_binary64` `associate-r_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64` `tan-quot_binary64` `associate-/r/_binary64`
1×	`cos-atan_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 168

Calls

4 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
4.0ms	(*.f64 eh (cos.f64 t))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 6176 to 1240 computations (79.9% saved)

series219.0ms (2.1%)

Error

0.1b

Counts

4 → 38

Calls

4 calls:

72.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
71.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
37.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
23.0ms	(*.f64 eh (cos.f64 t))

Compiler

Compiled 2528 to 1566 computations (38.1% saved)

simplify216.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

656×	`times-frac_binary64`
506×	`associate-/l*_binary64`
444×	`associate-/l/_binary64`
350×	`associate-/r*_binary64`
326×	`associate-l_binary64`
308×	`cancel-sign-sub-inv_binary64`
249×	`associate-r_binary64`
198×	`associate-*l/_binary64`
171×	`associate-/r/_binary64`
163×	`distribute-rgt-neg-in_binary64`
160×	`*-commutative_binary64`
154×	`sub-neg_binary64`
152×	`associate-*r/_binary64`
141×	`distribute-lft-neg-in_binary64`
120×	`neg-mul-1_binary64`
113×	`neg-sub0_binary64`
106×	`sqr-pow_binary64`
73×	`*-rgt-identity_binary64`
68×	`cube-prod_binary64` `distribute-neg-frac_binary64`
61×	`/-rgt-identity_binary64`
59×	`log-div_binary64`
58×	`cube-div_binary64`
56×	`log-prod_binary64`
53×	`*-lft-identity_binary64` `distribute-rgt-out--_binary64`
39×	`div-sub_binary64`
36×	`unswap-sqr_binary64`
35×	`exp-prod_binary64`
28×	`swap-sqr_binary64`
25×	`unpow3_binary64`
24×	`unsub-neg_binary64`
21×	`cube-mult_binary64` `+-commutative_binary64`
19×	`associate--l+_binary64` `associate-+l-_binary64`
18×	`pow-sqr_binary64`
14×	`log-rec_binary64`
13×	`cube-unmult_binary64` `associate-+r-_binary64`
12×	`remove-double-div_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
11×	`distribute-lft-out--_binary64`
9×	`pow-plus_binary64` `remove-double-neg_binary64` `distribute-rgt-out_binary64`
8×	`unpow1/2_binary64` `+-rgt-identity_binary64`
7×	`distribute-neg-in_binary64` `associate--r+_binary64`
6×	`associate--l-_binary64`
5×	`sub0-neg_binary64` `distribute-rgt1-in_binary64`
4×	`distribute-neg-out_binary64`
3×	`rem-sqrt-square_binary64` `distribute-lft-out_binary64`
2×	`div0_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `exp-diff_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `fabs-mul_binary64` `--rgt-identity_binary64` `+-inverses_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `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` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64`

Counts

206 → 106

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	218	3814
1	476	3641
2	1330	3638
3	3894	3632
4	4518	3632
5	4974	3632
6	4923	3632

prune92.0ms (0.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	101	5	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	5	107

Error

0.1b

Counts

107 → 5

Compiler

Compiled 2694 to 617 computations (77.1% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t))))) 3))
2.2b	(/.f64 eh (*.f64 ew (tan.f64 t)))
2.8b	(/.f64 (/.f64 eh ew) (tan.f64 t))
33.3b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

rewrite437.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

78×	`times-frac_binary64`
51×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
16×	`associate-/l*_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`cbrt-prod_binary64`
6×	`div-inv_binary64`
5×	`div-exp_binary64` `cbrt-undiv_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `associate-/r*_binary64`
3×	`unpow-prod-down_binary64` `cube-prod_binary64`
2×	`cos-atan_binary64` `frac-2neg_binary64` `clear-num_binary64` `tan-quot_binary64` `associate-/r/_binary64`
1×	`associate-/l/_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `pow1/3_binary64` `cube-div_binary64` `cbrt-div_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64` `rem-cbrt-cube_binary64`

Counts

4 → 123

Calls

4 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
5.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
3.0ms	(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t))))) 3))
2.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 4780 to 1409 computations (70.5% saved)

series239.0ms (2.3%)

Error

0.1b

Counts

4 → 38

Calls

4 calls:

73.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
73.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
42.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
38.0ms	(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t))))) 3))

Compiler

Compiled 2645 to 1802 computations (31.9% saved)

simplify229.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

512×	`times-frac_binary64`
491×	`associate-/l/_binary64`
484×	`unswap-sqr_binary64`
413×	`associate-/r*_binary64`
404×	`associate-/l*_binary64`
259×	`associate-l_binary64`
212×	`fabs-mul_binary64`
169×	`associate-/r/_binary64`
161×	`associate-*l/_binary64`
159×	`associate--l-_binary64`
134×	`sub-neg_binary64`
133×	`associate-r_binary64`
132×	`*-commutative_binary64`
105×	`associate-*r/_binary64`
93×	`sqr-pow_binary64`
77×	`log-prod_binary64`
72×	`associate--r-_binary64`
70×	`cancel-sign-sub-inv_binary64`
59×	`exp-prod_binary64`
50×	`distribute-rgt-in_binary64`
47×	`*-rgt-identity_binary64`
42×	`unpow3_binary64` `pow-plus_binary64`
41×	`distribute-rgt-neg-in_binary64`
39×	`cube-prod_binary64`
38×	`distribute-neg-in_binary64`
37×	`associate-+l-_binary64`
35×	`/-rgt-identity_binary64` `distribute-lft-neg-in_binary64`
34×	`neg-mul-1_binary64`
33×	`distribute-neg-frac_binary64` `distribute-lft-in_binary64`
31×	`neg-sub0_binary64`
28×	`swap-sqr_binary64`
27×	`cube-unmult_binary64`
25×	`fabs-sqr_binary64` `*-lft-identity_binary64`
24×	`rem-sqrt-square_binary64`
23×	`div-sub_binary64` `associate--l+_binary64`
22×	`log-div_binary64`
21×	`log-pow_binary64`
18×	`unsub-neg_binary64` `+-commutative_binary64`
15×	`pow-sqr_binary64`
14×	`associate-+r-_binary64` `associate-+l+_binary64`
13×	`cube-div_binary64` `sub0-neg_binary64` `associate--r+_binary64`
10×	`cube-mult_binary64` `--rgt-identity_binary64`
7×	`+-rgt-identity_binary64`
6×	`rem-cbrt-cube_binary64` `count-2_binary64` `associate-+r+_binary64`
5×	`distribute-rgt-out_binary64`
4×	`unpow2_binary64` `remove-double-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-out_binary64`
3×	`div0_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-out_binary64`
2×	`log-rec_binary64` `unpow1_binary64` `rem-square-sqrt_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-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` `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` `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-neg_binary64` `rem-3cbrt-rft_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `+-lft-identity_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64`

Counts

161 → 84

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	231	2987
1	471	2803
2	1149	2803
3	2958	2803
4	3502	2789
5	4746	2789
6	4901	2789
7	4996	2789
8	4908	2789

prune85.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	84	5	89

Error

0.1b

Counts

89 → 5

Compiler

Compiled 1947 to 620 computations (68.2% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 eh)
2.8b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.8b	(/.f64 (/.f64 eh ew) (tan.f64 t))
33.3b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite231.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

150×	`times-frac_binary64`
89×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
26×	`associate-/l*_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`div-inv_binary64`
6×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-/r*_binary64`
4×	`pow1_binary64` `add-log-exp_binary64`
3×	`cbrt-prod_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64` `tan-quot_binary64` `associate-/r/_binary64`
1×	`cos-atan_binary64` `pow1/3_binary64`

Counts

4 → 161

Calls

4 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
1.0ms	(cbrt.f64 eh)

Compiler

Compiled 7106 to 1232 computations (82.7% saved)

series218.0ms (2.1%)

Error

0.1b

Counts

4 → 32

Calls

4 calls:

75.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
72.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
41.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
19.0ms	(cbrt.f64 eh)

Compiler

Compiled 2668 to 1581 computations (40.7% saved)

simplify209.0ms (2%)

Algorithm

1×	egg-herbie

Rules

581×	`associate-/r*_binary64`
355×	`associate-/r/_binary64`
323×	`associate-l_binary64`
322×	`associate-*l/_binary64`
311×	`associate-r_binary64`
288×	`associate-*r/_binary64`
224×	`unswap-sqr_binary64`
179×	`*-commutative_binary64`
178×	`log-prod_binary64`
163×	`associate-/l/_binary64`
121×	`log-div_binary64`
113×	`distribute-rgt-neg-in_binary64`
112×	`associate-/l*_binary64`
88×	`times-frac_binary64`
77×	`cancel-sign-sub-inv_binary64`
69×	`cube-prod_binary64`
62×	`cube-div_binary64`
58×	`sub-neg_binary64`
56×	`unpow3_binary64`
48×	`sqr-pow_binary64`
47×	`distribute-neg-frac_binary64`
45×	`swap-sqr_binary64`
30×	`*-rgt-identity_binary64`
29×	`/-rgt-identity_binary64`
24×	`neg-sub0_binary64`
23×	`neg-mul-1_binary64`
19×	`pow-plus_binary64` `distribute-lft-neg-in_binary64`
17×	`exp-prod_binary64`
15×	`log-pow_binary64`
14×	`*-lft-identity_binary64`
13×	`cube-mult_binary64`
12×	`cube-unmult_binary64`
10×	`associate--l+_binary64`
9×	`fabs-mul_binary64` `div-sub_binary64`
8×	`associate-+l-_binary64`
7×	`unsub-neg_binary64` `pow-sqr_binary64` `associate-+l+_binary64` `+-commutative_binary64`
6×	`log-rec_binary64` `rem-sqrt-square_binary64` `associate--l-_binary64` `associate-+r-_binary64`
5×	`associate-+r+_binary64`
4×	`+-rgt-identity_binary64`
3×	`fabs-sqr_binary64` `sub0-neg_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
2×	`unpow1/3_binary64` `mul-1-neg_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
1×	`unpow2_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `div0_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate--r-_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` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_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`

Counts

193 → 108

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	3611
1	396	3394
2	1156	3392
3	3802	3392
4	4831	3392
5	4949	3392
6	4957	3392

prune94.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	108	5	113

Error

0.1b

Counts

113 → 5

Compiler

Compiled 3436 to 668 computations (80.6% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.8b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.8b	(/.f64 (/.f64 eh ew) (tan.f64 t))
33.3b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
37.2b	(cbrt.f64 (pow.f64 (*.f64 eh (cos.f64 t)) 3))

rewrite284.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

150×	`times-frac_binary64`
89×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
26×	`associate-/l*_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`div-inv_binary64`
8×	`cbrt-prod_binary64`
6×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-/r*_binary64`
4×	`pow1_binary64` `add-log-exp_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64` `tan-quot_binary64` `associate-/r/_binary64`
1×	`pow1/3_binary64` `unpow-prod-down_binary64` `unpow3_binary64` `cube-mult_binary64` `cube-prod_binary64` `sqr-pow_binary64` `rem-cbrt-cube_binary64` `cos-atan_binary64`

Counts

4 → 167

Calls

4 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.0ms	(cbrt.f64 (pow.f64 (*.f64 eh (cos.f64 t)) 3))
1.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 6695 to 1831 computations (72.7% saved)

series236.0ms (2.3%)

Error

0.1b

Counts

4 → 38

Calls

4 calls:

75.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
75.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
43.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
25.0ms	(cbrt.f64 (pow.f64 (*.f64 eh (cos.f64 t)) 3))

Compiler

Compiled 2760 to 1777 computations (35.6% saved)

simplify219.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

403×	`associate-/l/_binary64`
327×	`associate-/l*_binary64`
309×	`times-frac_binary64`
304×	`associate-/r*_binary64`
278×	`cancel-sign-sub-inv_binary64`
266×	`sub-neg_binary64`
249×	`div-sub_binary64`
247×	`unswap-sqr_binary64`
244×	`associate-l_binary64`
169×	`associate-r_binary64` `*-commutative_binary64`
149×	`associate-*l/_binary64`
141×	`distribute-rgt-neg-in_binary64`
136×	`distribute-lft-neg-in_binary64`
135×	`associate-/r/_binary64`
111×	`neg-mul-1_binary64`
109×	`associate-*r/_binary64`
107×	`neg-sub0_binary64`
73×	`fabs-mul_binary64` `sqr-pow_binary64`
69×	`associate-+l-_binary64`
59×	`unsub-neg_binary64`
57×	`distribute-neg-frac_binary64`
50×	`associate--l+_binary64`
49×	`cube-prod_binary64`
46×	`*-rgt-identity_binary64`
44×	`associate--l-_binary64`
43×	`associate-+l+_binary64`
42×	`+-commutative_binary64`
34×	`/-rgt-identity_binary64`
33×	`distribute-rgt-out_binary64`
32×	`associate-+r-_binary64`
31×	`distribute-rgt-out--_binary64`
30×	`rem-sqrt-square_binary64` `associate-+r+_binary64`
28×	`log-div_binary64` `cube-div_binary64` `*-lft-identity_binary64`
27×	`sub0-neg_binary64`
26×	`cube-unmult_binary64`
25×	`unpow3_binary64`
23×	`associate--r+_binary64`
22×	`fabs-sqr_binary64`
19×	`+-rgt-identity_binary64`
18×	`log-prod_binary64` `pow-plus_binary64`
17×	`distribute-rgt-in_binary64`
16×	`distribute-lft-out_binary64`
15×	`distribute-lft-out--_binary64` `associate--r-_binary64`
14×	`swap-sqr_binary64`
11×	`remove-double-neg_binary64`
10×	`cube-mult_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft-in_binary64`
9×	`pow-sqr_binary64`
8×	`exp-prod_binary64`
7×	`distribute-neg-in_binary64`
6×	`distribute-rgt1-in_binary64`
4×	`log-rec_binary64` `distribute-lft-neg-out_binary64`
3×	`rem-cbrt-cube_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `exp-sum_binary64` `fabs-div_binary64` `mul-1-neg_binary64` `div0_binary64` `distribute-rgt-neg-out_binary64`
1×	`unpow1_binary64` `exp-diff_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `+-lft-identity_binary64` `distribute-neg-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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `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-cube-cbrt_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-square-sqrt_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64`

Counts

205 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	3847
1	481	3700
2	1170	3689
3	3085	3689
4	4074	3689
5	4758	3689
6	5180	3689

prune110.0ms (1.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	103	7	110

Error

0.1b

Counts

110 → 7

Compiler

Compiled 2844 to 742 computations (73.9% saved)

regimes625.0ms (6%)

Accuracy

Total 0.0b remaining (24.5%)

Threshold costs 0.0b (24.5%)

Compiler

Compiled 10583 to 6908 computations (34.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`+-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` `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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_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` `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	24	51
1	30	51
2	30	51

end1.0ms (0%)

Compiler: Compiled 31 to 23 computations (25.8% saved)

sample4.1s (39.2%)

Algorithm

1×

intervals

Results

1.8s	1989×	body	1024	valid
838.0ms	4553×	body	128	valid
575.0ms	983×	body	512	valid
179.0ms	471×	body	256	valid
6.0ms	4×	body	2048	valid

Compiler

Compiled 304 to 203 computations (33.2% saved)

Details

analyze2.0s (19.8%)

sample126.0ms (1.2%)

simplify10.0ms (0.1%)

prune2.0ms (0%)

localize22.0ms (0.2%)

rewrite254.0ms (2.5%)

series219.0ms (2.1%)

simplify216.0ms (2.1%)

prune92.0ms (0.9%)

localize29.0ms (0.3%)

rewrite437.0ms (4.2%)

series239.0ms (2.3%)

simplify229.0ms (2.2%)

prune85.0ms (0.8%)

localize30.0ms (0.3%)

rewrite231.0ms (2.2%)

series218.0ms (2.1%)

simplify209.0ms (2%)

prune94.0ms (0.9%)

localize27.0ms (0.3%)

rewrite284.0ms (2.7%)

series236.0ms (2.3%)

simplify219.0ms (2.1%)

prune110.0ms (1.1%)

regimes625.0ms (6%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end1.0ms (0%)

sample4.1s (39.2%)

Profiling