Details

analyze251.0ms (6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	699	52
1	699	52
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
49.9%	49.9%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
81.1%	18.7%	0.1%	9
81.1%	18.7%	0.1%	10
81.1%	15.6%	3.3%	11
84.3%	10.9%	4.8%	12
84.3%	10.9%	4.8%	13
84.3%	8.6%	7.2%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample25.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify26.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	321	13
1	321	13

prune2.0ms (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 18 to 18 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (*.f64 x y) 2)
0.0b	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))

rewrite63.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64_2828`
13×	`*-un-lft-identity_binary64_2806` `times-frac_binary64_2812` `cancel-sign-sub-inv_binary64_2772`
11×	`add-cube-cbrt_binary64_2841`
7×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
4×	`add-log-exp_binary64_2845`
3×	`associate-/r*_binary64_2750`
2×	`pow1_binary64_2867` `difference-of-squares_binary64_2775` `div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840`
1×	`diff-log_binary64_2898` `frac-sub_binary64_2815` `flip3--_binary64_2810` `sub-neg_binary64_2799` `flip--_binary64_2781` `distribute-lft-out--_binary64_2758` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `associate-/l*_binary64_2751`

Counts

2 → 49

Calls

2 calls:

12.0ms	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
4.0ms	(/.f64 (*.f64 x y) 2)

Compiler

Compiled 820 to 532 computations (35.1% saved)

series202.0ms (4.8%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

143.0ms	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
47.0ms	(/.f64 (*.f64 x y) 2)

Compiler

Compiled 479 to 417 computations (12.9% saved)

simplify80.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4975	780
1	4975	780

prune53.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	3	74

Error

Counts

74 → 3

Compiler

Compiled 849 to 529 computations (37.7% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 -1/8 z) (.f64 1/2 (.f64 x y)))) (cbrt.f64 (+.f64 (.f64 -1/8 z) (.f64 1/2 (*.f64 x y)))))
0.6b	(cbrt.f64 (+.f64 (.f64 -1/8 z) (.f64 1/2 (*.f64 x y))))
0.6b	(cbrt.f64 (+.f64 (.f64 -1/8 z) (.f64 1/2 (*.f64 x y))))
0.6b	(cbrt.f64 (+.f64 (.f64 -1/8 z) (.f64 1/2 (*.f64 x y))))

rewrite225.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_2837`
23×	`add-sqr-sqrt_binary64_2828`
18×	`cbrt-div_binary64_2838`
15×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
11×	`pow1_binary64_2867`
9×	`pow1/3_binary64_2888` `flip3-+_binary64_2809` `flip-+_binary64_2780`
6×	`add-exp-log_binary64_2844` `swap-sqr_binary64_2773` `associate-l_binary64_2747` `associate-r_binary64_2746`
4×	`add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `frac-times_binary64_2816` `unswap-sqr_binary64_2774`
2×	`pow-prod-down_binary64_2877` `pow-prod-up_binary64_2876` `pow-sqr_binary64_2779` `associate-l/_binary64_2749` `associate-r/_binary64_2748`
1×	`pow2_binary64_2887` `pow-plus_binary64_2869` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `*-commutative_binary64_2737`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 -1/8 z) (.f64 1/2 (.f64 x y)))) (cbrt.f64 (+.f64 (.f64 -1/8 z) (.f64 1/2 (*.f64 x y)))))
4.0ms	(cbrt.f64 (+.f64 (.f64 -1/8 z) (.f64 1/2 (*.f64 x y))))
4.0ms	(cbrt.f64 (+.f64 (.f64 -1/8 z) (.f64 1/2 (*.f64 x y))))
4.0ms	(cbrt.f64 (+.f64 (.f64 -1/8 z) (.f64 1/2 (*.f64 x y))))

Compiler

Compiled 4124 to 2664 computations (35.4% saved)

series1.0s (24.4%)

Error

Counts

4 → 60

Calls

4 calls:

297.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 -1/8 z) (.f64 1/2 (.f64 x y)))) (cbrt.f64 (+.f64 (.f64 -1/8 z) (.f64 1/2 (*.f64 x y)))))
228.0ms	(cbrt.f64 (+.f64 (.f64 -1/8 z) (.f64 1/2 (*.f64 x y))))
194.0ms	(cbrt.f64 (+.f64 (.f64 -1/8 z) (.f64 1/2 (*.f64 x y))))
194.0ms	(cbrt.f64 (+.f64 (.f64 -1/8 z) (.f64 1/2 (*.f64 x y))))

Compiler

Compiled 7016 to 5554 computations (20.8% saved)

simplify83.0ms (2%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4979	4123
1	4979	4123

prune299.0ms (7.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	147	3	150

Error

Counts

150 → 3

Compiler

Compiled 5732 to 3733 computations (34.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 1/2 (.f64 x y))
0.0b	(-.f64 (cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x y)) 3)) (/.f64 z 8))
0.2b	(pow.f64 (.f64 1/2 (.f64 x y)) 3)
33.4b	(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x y)) 3))

rewrite134.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-sqr-sqrt_binary64_2828`
16×	`*-un-lft-identity_binary64_2806`
15×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
14×	`add-cube-cbrt_binary64_2841`
13×	`cancel-sign-sub-inv_binary64_2772`
12×	`cbrt-prod_binary64_2837` `times-frac_binary64_2812`
6×	`add-log-exp_binary64_2845` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `difference-of-squares_binary64_2775`
4×	`sqr-pow_binary64_2778`
3×	`pow-unpow_binary64_2883` `pow-pow_binary64_2878` `pow-exp_binary64_2874` `rem-cube-cbrt_binary64_2829` `associate-l_binary64_2747`
2×	`unpow-prod-down_binary64_2885` `unpow3_binary64_2872` `cube-mult_binary64_2836` `cube-prod_binary64_2834`
1×	`pow1/3_binary64_2888` `rem-cbrt-cube_binary64_2830` `pow-to-exp_binary64_2875` `diff-log_binary64_2898` `flip3--_binary64_2810` `sub-neg_binary64_2799` `flip--_binary64_2781` `div-inv_binary64_2803` `distribute-lft-out--_binary64_2758` `associate-r_binary64_2746` `*-commutative_binary64_2737`

Counts

4 → 91

Calls

4 calls:

13.0ms	(-.f64 (cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x y)) 3)) (/.f64 z 8))
7.0ms	(.f64 1/2 (.f64 x y))
6.0ms	(pow.f64 (.f64 1/2 (.f64 x y)) 3)
2.0ms	(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x y)) 3))

Compiler

Compiled 1846 to 1273 computations (31% saved)

series401.0ms (9.6%)

Error

Counts

4 → 36

Calls

4 calls:

155.0ms	(-.f64 (cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x y)) 3)) (/.f64 z 8))
94.0ms	(pow.f64 (.f64 1/2 (.f64 x y)) 3)
71.0ms	(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x y)) 3))
59.0ms	(.f64 1/2 (.f64 x y))

Compiler

Compiled 989 to 891 computations (9.9% saved)

simplify76.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4875	1440
1	4875	1440

prune106.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	127	3	130

Error

Counts

130 → 3

Compiler

Compiled 1770 to 1170 computations (33.9% saved)

regimes159.0ms (3.8%)

Accuracy

Total 0.0b remaining (13.6%)

Threshold costs 0.0b (13.6%)

Compiler

Compiled 1558 to 1270 computations (18.5% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	13
1	28	13

Compiler

Compiled 18 to 18 computations (0% saved)

end0.0ms (0%)

sample946.0ms (22.6%)

Algorithm

1×

intervals

Results

241.0ms	8000×	body	128	valid
15.0ms	539×	body	128	invalid

Compiler

Compiled 235 to 194 computations (17.4% saved)

Details

analyze251.0ms (6%)

sample25.0ms (0.6%)

simplify26.0ms (0.6%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite63.0ms (1.5%)

series202.0ms (4.8%)

simplify80.0ms (1.9%)

prune53.0ms (1.3%)

localize13.0ms (0.3%)

rewrite225.0ms (5.4%)

series1.0s (24.4%)

simplify83.0ms (2%)

prune299.0ms (7.1%)

localize9.0ms (0.2%)

rewrite134.0ms (3.2%)

series401.0ms (9.6%)

simplify76.0ms (1.8%)

prune106.0ms (2.5%)

regimes159.0ms (3.8%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

end0.0ms (0%)

sample946.0ms (22.6%)

Profiling