Details

analyze543.0ms (9.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	40
1	779	40
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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	26×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify26.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

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 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 x 1) z)
0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

rewrite46.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-sqr-sqrt_binary64_3169`
7×	`-un-lft-identity_binary64_3147` `associate-l*_binary64_3088`
4×	`add-log-exp_binary64_3186` `pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182`
3×	`associate-r_binary64_3087`
2×	`associate-*l/_binary64_3090` `difference-of-squares_binary64_3116`
1×	`sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077` `pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `flip3--_binary64_3151` `flip--_binary64_3122` `difference-of-sqr-1_binary64_3117` `distribute-lft-out--_binary64_3099` `*-commutative_binary64_3078`

Counts

2 → 35

Calls

2 calls:

7.0ms	(*.f64 (-.f64 x 1) z)
5.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

Compiler

Compiled 586 to 323 computations (44.9% saved)

series264.0ms (4.7%)

Error

0.0b

Counts

2 → 27

Calls

2 calls:

164.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
86.0ms	(*.f64 (-.f64 x 1) z)

Compiler

Compiled 525 to 317 computations (39.6% saved)

simplify73.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5092	615

prune43.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	59	5	64

Error

Counts

64 → 5

Compiler

Compiled 746 to 230 computations (69.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
0.0b	(*.f64 x (+.f64 y z))

rewrite57.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
5×	`add-cube-cbrt_binary64_3182`
4×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `associate-r_binary64_3087`
3×	`associate-l_binary64_3088` `cancel-sign-sub-inv_binary64_3113`
2×	`distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `associate-*r/_binary64_3089` `associate--l+_binary64_3084`
1×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `flip3-+_binary64_3150` `flip-+_binary64_3121` `distribute-lft-out_binary64_3098` `*-commutative_binary64_3078` `diff-log_binary64_3239` `flip3--_binary64_3151` `sub-neg_binary64_3140` `flip--_binary64_3122`

Counts

2 → 39

Calls

2 calls:

6.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)
6.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 529 to 154 computations (70.9% saved)

series269.0ms (4.8%)

Error

Counts

2 → 33

Calls

2 calls:

158.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)
97.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 606 to 344 computations (43.2% saved)

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5136	655

prune42.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	72	5	77

Error

Counts

77 → 5

Compiler

Compiled 717 to 153 computations (78.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (+.f64 z y))) (cbrt.f64 (*.f64 x (+.f64 z y))))
4.5b	(cbrt.f64 (*.f64 x (+.f64 z y)))
4.5b	(cbrt.f64 (*.f64 x (+.f64 z y)))
4.5b	(cbrt.f64 (*.f64 x (+.f64 z y)))

rewrite153.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`associate-*r/_binary64_3089`
18×	`cbrt-div_binary64_3179`
11×	`pow1_binary64_3208`
10×	`add-sqr-sqrt_binary64_3169`
9×	`pow1/3_binary64_3229` `flip3-+_binary64_3150` `flip-+_binary64_3121`
8×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
7×	`cbrt-prod_binary64_3178`
6×	`add-exp-log_binary64_3185`
4×	`add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `frac-times_binary64_3157` `swap-sqr_binary64_3114` `associate-l_binary64_3088` `associate-r_binary64_3087`
2×	`pow-prod-down_binary64_3218` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120` `associate-*l/_binary64_3090`
1×	`pow2_binary64_3228` `pow-plus_binary64_3210` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `*-commutative_binary64_3078`

Counts

4 → 72

Calls

4 calls:

12.0ms	(cbrt.f64 (*.f64 x (+.f64 z y)))
9.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 z y))) (cbrt.f64 (*.f64 x (+.f64 z y))))
9.0ms	(cbrt.f64 (*.f64 x (+.f64 z y)))
6.0ms	(cbrt.f64 (*.f64 x (+.f64 z y)))

Compiler

Compiled 2171 to 373 computations (82.8% saved)

series1.3s (22.5%)

Error

Counts

4 → 61

Calls

4 calls:

363.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 z y))) (cbrt.f64 (*.f64 x (+.f64 z y))))
268.0ms	(cbrt.f64 (*.f64 x (+.f64 z y)))
268.0ms	(cbrt.f64 (*.f64 x (+.f64 z y)))
260.0ms	(cbrt.f64 (*.f64 x (+.f64 z y)))

Compiler

Compiled 5720 to 3667 computations (35.9% saved)

simplify100.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4971	2425
1	4971	2425

prune151.0ms (2.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	133	5	138

Error

Counts

138 → 5

Compiler

Compiled 3634 to 985 computations (72.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
0.0b	(*.f64 x (+.f64 z y))
0.1b	(.f64 (-.f64 (.f64 x (+.f64 z y)) z) (+.f64 (*.f64 x (-.f64 y z)) z))
26.2b	(/.f64 (.f64 (-.f64 (.f64 x (+.f64 z y)) z) (+.f64 (.f64 x (-.f64 y z)) z)) (+.f64 (.f64 x (-.f64 y z)) z))

rewrite183.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-sqr-sqrt_binary64_3169`
18×	`*-un-lft-identity_binary64_3147`
15×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
14×	`add-cube-cbrt_binary64_3182`
12×	`associate-r_binary64_3087`
10×	`pow1_binary64_3208`
9×	`associate-l_binary64_3088`
8×	`flip3-+_binary64_3150` `frac-times_binary64_3157` `associate-/l/_binary64_3094` `flip-+_binary64_3121` `associate-*r/_binary64_3089`
7×	`flip3--_binary64_3151` `flip--_binary64_3122`
6×	`distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `cancel-sign-sub-inv_binary64_3113`
4×	`prod-exp_binary64_3196` `add-log-exp_binary64_3186` `cbrt-unprod_binary64_3180` `associate-*l/_binary64_3090`
3×	`times-frac_binary64_3153` `associate-/r_binary64_3091` `pow-prod-down_binary64_3218` `unswap-sqr_binary64_3115` `-commutative_binary64_3078`
2×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `associate-/r/_binary64_3093` `sub-neg_binary64_3140`
1×	`frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144` `associate-/l*_binary64_3092` `distribute-lft-out_binary64_3098` `difference-of-squares_binary64_3116` `distribute-lft-out--_binary64_3099`

Counts

4 → 112

Calls

4 calls:

27.0ms	(.f64 (-.f64 (.f64 x (+.f64 z y)) z) (+.f64 (*.f64 x (-.f64 y z)) z))
22.0ms	(/.f64 (.f64 (-.f64 (.f64 x (+.f64 z y)) z) (+.f64 (.f64 x (-.f64 y z)) z)) (+.f64 (.f64 x (-.f64 y z)) z))
7.0ms	(*.f64 x (-.f64 y z))
6.0ms	(*.f64 x (+.f64 z y))

Compiler

Compiled 4007 to 566 computations (85.9% saved)

series835.0ms (14.9%)

Error

Counts

4 → 69

Calls

4 calls:

390.0ms	(.f64 (-.f64 (.f64 x (+.f64 z y)) z) (+.f64 (*.f64 x (-.f64 y z)) z))
157.0ms	(/.f64 (.f64 (-.f64 (.f64 x (+.f64 z y)) z) (+.f64 (.f64 x (-.f64 y z)) z)) (+.f64 (.f64 x (-.f64 y z)) z))
128.0ms	(*.f64 x (-.f64 y z))
105.0ms	(*.f64 x (+.f64 z y))

Compiler

Compiled 3568 to 1777 computations (50.2% saved)

simplify115.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	6631	3153

prune165.0ms (2.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	181	5	186

Error

Counts

186 → 5

Compiler

Compiled 4722 to 563 computations (88.1% saved)

regimes204.0ms (3.6%)

Accuracy

Total 0.0b remaining (73.9%)

Threshold costs 0.0b (73.9%)

Compiler

Compiled 1212 to 834 computations (31.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample938.0ms (16.8%)

Algorithm

1×

intervals

Results

273.0ms	8000×	body	128	valid
19.0ms	646×	body	128	invalid

Compiler

Compiled 316 to 220 computations (30.4% saved)

Details

analyze543.0ms (9.7%)

sample18.0ms (0.3%)

simplify26.0ms (0.5%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite46.0ms (0.8%)

series264.0ms (4.7%)

simplify73.0ms (1.3%)

prune43.0ms (0.8%)

localize5.0ms (0.1%)

rewrite57.0ms (1%)

series269.0ms (4.8%)

simplify70.0ms (1.3%)

prune42.0ms (0.7%)

localize10.0ms (0.2%)

rewrite153.0ms (2.7%)

series1.3s (22.5%)

simplify100.0ms (1.8%)

prune151.0ms (2.7%)

localize11.0ms (0.2%)

rewrite183.0ms (3.3%)

series835.0ms (14.9%)

simplify115.0ms (2.1%)

prune165.0ms (2.9%)

regimes204.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample938.0ms (16.8%)

Profiling