Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 20 to 17 computations (15% saved)

sample18.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 39 to 34 computations (12.8% saved)

simplify200.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4600	28
1	4600	28

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 38 to 32 computations (15.8% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x))
0.0b	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
12.9b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite46.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64_3169`
23×	`*-un-lft-identity_binary64_3147`
19×	`add-cube-cbrt_binary64_3182`
11×	`times-frac_binary64_3153`
10×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
9×	`cancel-sign-sub-inv_binary64_3113` `associate-r_binary64_3087`
8×	`pow1_binary64_3208`
6×	`add-log-exp_binary64_3186` `associate-l_binary64_3088`
5×	`distribute-lft-in_binary64_3096` `distribute-rgt-in_binary64_3097`
4×	`difference-of-squares_binary64_3116` `associate-*r/_binary64_3089`
3×	`flip-+_binary64_3121` `associate-/r_binary64_3091` `flip3-+_binary64_3150` `sub-neg_binary64_3140` `associate-/l_binary64_3092`
2×	`*-commutative_binary64_3078` `flip--_binary64_3122` `unswap-sqr_binary64_3115` `pow-prod-down_binary64_3218` `flip3--_binary64_3151` `associate-/l/_binary64_3094` `distribute-lft-out--_binary64_3099` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `associate-/r/_binary64_3093`
1×	`clear-num_binary64_3146` `frac-2neg_binary64_3158` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `diff-log_binary64_3239` `div-inv_binary64_3144`

Counts

4 → 101

Calls

4 calls:

14.0ms	(.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x))
11.0ms	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
7.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))

series122.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
31.0ms	(.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x))
27.0ms	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
20.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

simplify84.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4863	3009
1	4863	3009

prune175.0ms (5.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	107	6	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	6	114

Error

Counts

114 → 6

Compiler

Compiled 3334 to 2658 computations (20.3% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) 6369080665019903/9007199254740992) (*.f64 x -6369080665019903/9007199254740992))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.1b	(.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) 6369080665019903/9007199254740992)
12.9b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite40.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_3169`
22×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
19×	`times-frac_binary64_3153`
18×	`associate-l_binary64_3088`
13×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
8×	`pow1_binary64_3208`
6×	`associate-r_binary64_3087` `add-log-exp_binary64_3186`
5×	`flip-+_binary64_3121` `flip3-+_binary64_3150`
4×	`associate-/r/_binary64_3093`
3×	`unswap-sqr_binary64_3115` `associate-/r_binary64_3091` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `associate-/l_binary64_3092`
2×	`-commutative_binary64_3078` `pow-prod-down_binary64_3218` `associate-/l/_binary64_3094` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `associate-r/_binary64_3089` `div-inv_binary64_3144`
1×	`clear-num_binary64_3146` `associate-*l/_binary64_3090` `frac-2neg_binary64_3158` `+-commutative_binary64_3077` `distribute-lft-in_binary64_3096` `distribute-rgt-in_binary64_3097` `sum-log_binary64_3238`

Counts

4 → 98

Calls

4 calls:

10.0ms	(.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) 6369080665019903/9007199254740992)
9.0ms	(+.f64 (.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) 6369080665019903/9007199254740992) (*.f64 x -6369080665019903/9007199254740992))
6.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))

series115.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
29.0ms	(+.f64 (.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) 6369080665019903/9007199254740992) (*.f64 x -6369080665019903/9007199254740992))
23.0ms	(.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) 6369080665019903/9007199254740992)
19.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

simplify88.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5478	2933

prune194.0ms (6.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	111	5	116

Error

Counts

116 → 5

Compiler

Compiled 3491 to 2852 computations (18.3% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) 6369080665019903/9007199254740992) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) (*.f64 x -6369080665019903/9007199254740992))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.1b	(.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) 6369080665019903/9007199254740992)
12.9b	(/.f64 (.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) 6369080665019903/9007199254740992) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))

rewrite36.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_3169`
13×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
10×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
8×	`pow1_binary64_3208`
6×	`associate-r_binary64_3087` `add-log-exp_binary64_3186` `associate-l_binary64_3088`
5×	`flip-+_binary64_3121` `flip3-+_binary64_3150`
4×	`associate-*l/_binary64_3090`
3×	`times-frac_binary64_3153` `associate-/r*_binary64_3091` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
2×	`-commutative_binary64_3078` `unswap-sqr_binary64_3115` `pow-prod-down_binary64_3218` `associate-/l/_binary64_3094` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `associate-/r/_binary64_3093` `associate-r/_binary64_3089`
1×	`clear-num_binary64_3146` `frac-2neg_binary64_3158` `+-commutative_binary64_3077` `distribute-lft-in_binary64_3096` `associate-/l*_binary64_3092` `distribute-rgt-in_binary64_3097` `div-inv_binary64_3144` `sum-log_binary64_3238`

Counts

4 → 78

Calls

4 calls:

9.0ms	(+.f64 (/.f64 (.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) 6369080665019903/9007199254740992) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) (*.f64 x -6369080665019903/9007199254740992))
9.0ms	(/.f64 (.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) 6369080665019903/9007199254740992) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))
5.0ms	(.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) 6369080665019903/9007199254740992)
5.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))

series114.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
28.0ms	(+.f64 (/.f64 (.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) 6369080665019903/9007199254740992) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) (*.f64 x -6369080665019903/9007199254740992))
27.0ms	(.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) 6369080665019903/9007199254740992)
23.0ms	(/.f64 (.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) 6369080665019903/9007199254740992) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))))

simplify63.0ms (2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5374	1913

prune136.0ms (4.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	90	5	95

Error

Counts

95 → 5

Compiler

Compiled 2592 to 2110 computations (18.6% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.2b	(pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3)
12.9b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
17.8b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3))

rewrite48.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64_3169`
45×	`times-frac_binary64_3153`
44×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
36×	`cbrt-prod_binary64_3178`
30×	`unpow-prod-down_binary64_3226` `cube-prod_binary64_3175`
11×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
10×	`associate-/r/_binary64_3093`
7×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `pow1_binary64_3208`
5×	`div-inv_binary64_3144`
4×	`add-log-exp_binary64_3186`
3×	`associate-r_binary64_3087` `associate-/r_binary64_3091` `pow-unpow_binary64_3224` `associate-/l_binary64_3092` `associate-l_binary64_3088`
2×	`pow-exp_binary64_3215` `rem-cube-cbrt_binary64_3170` `associate-/l/_binary64_3094` `sqr-pow_binary64_3119` `cube-mult_binary64_3177` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `cube-div_binary64_3176` `unpow3_binary64_3213` `associate-*r/_binary64_3089`
1×	`rem-cbrt-cube_binary64_3171` `*-commutative_binary64_3078` `cbrt-div_binary64_3179` `unswap-sqr_binary64_3115` `clear-num_binary64_3146` `pow1/3_binary64_3229` `pow-prod-down_binary64_3218` `frac-2neg_binary64_3158` `pow-to-exp_binary64_3216` `prod-exp_binary64_3196` `distribute-lft-in_binary64_3096` `cbrt-unprod_binary64_3180` `distribute-rgt-in_binary64_3097` `pow-pow_binary64_3219`

Counts

4 → 149

Calls

4 calls:

9.0ms	(pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3)
8.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3))
8.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
7.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

series96.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

34.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
23.0ms	(pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3)
20.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3))
19.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

simplify112.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4937	5038
1	4937	5038

prune306.0ms (9.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	161	5	166

Error

Counts

166 → 5

Compiler

Compiled 5064 to 4168 computations (17.7% saved)

regimes148.0ms (4.7%)

Accuracy

Total 0.0b remaining (87.2%)

Threshold costs 0.0b (87.2%)

Compiler

Compiled 1870 to 1571 computations (16% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	31
1	29	31

end0.0ms (0%)

sample937.0ms (29.9%)

Algorithm

1×

intervals

Results

353.0ms

8000×

body

128

valid

Compiler

Compiled 588 to 496 computations (15.6% saved)

Details

analyze5.0ms (0.2%)

sample18.0ms (0.6%)

simplify200.0ms (6.4%)

prune3.0ms (0.1%)

localize12.0ms (0.4%)

rewrite46.0ms (1.5%)

series122.0ms (3.9%)

simplify84.0ms (2.7%)

prune175.0ms (5.6%)

localize13.0ms (0.4%)

rewrite40.0ms (1.3%)

series115.0ms (3.7%)

simplify88.0ms (2.8%)

prune194.0ms (6.2%)

localize13.0ms (0.4%)

rewrite36.0ms (1.1%)

series114.0ms (3.6%)

simplify63.0ms (2%)

prune136.0ms (4.3%)

localize15.0ms (0.5%)

rewrite48.0ms (1.5%)

series96.0ms (3.1%)

simplify112.0ms (3.6%)

prune306.0ms (9.8%)

regimes148.0ms (4.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample937.0ms (29.9%)

Profiling