Details

analyze503.0ms (16.1%)

Algorithm

1×

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
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

Compiler

Compiled 16 to 10 computations (37.5% saved)

sample30.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms	171×	body	128	valid
4.0ms	31×	body	1024	valid
3.0ms	22×	body	2048	valid
2.0ms	61×	body	128	invalid
2.0ms	20×	body	512	valid
1.0ms	12×	body	256	valid
1.0ms	5×	body	1024	invalid
0.0ms	8×	body	256	invalid
0.0ms	5×	body	512	invalid

Compiler

Compiled 31 to 22 computations (29% saved)

simplify237.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	5044	7

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_9307`
7×	`*-un-lft-identity_binary64_9285`
6×	`cancel-sign-sub-inv_binary64_9251`
5×	`associate-r_binary64_9225` `add-cube-cbrt_binary64_9320`
4×	`distribute-lft-in_binary64_9234` `distribute-rgt-in_binary64_9235`
3×	`associate-l_binary64_9226` `pow1_binary64_9346` `add-cbrt-cube_binary64_9321` `add-exp-log_binary64_9323`
2×	`sub-neg_binary64_9278` `associate-*r/_binary64_9227`
1×	`cbrt-unprod_binary64_9318` `prod-exp_binary64_9334` `pow-prod-down_binary64_9356` `unswap-sqr_binary64_9253` `flip--_binary64_9260` `flip3--_binary64_9289` `add-log-exp_binary64_9324` `*-commutative_binary64_9216` `difference-of-squares_binary64_9254` `distribute-lft-out--_binary64_9237`

Counts

1 → 30

Calls

2 calls:

12.0ms	(*.f64 y (-.f64 x z))
0.0ms	(*.f64 y (-.f64 x z))

series95.0ms (3%)

Counts

1 → 15

Calls

1 calls:

95.0ms

(*.f64 y (-.f64 x z))

Compiler

Compiled 138 to 132 computations (4.3% saved)

simplify47.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5688	386

prune28.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Error

Counts

46 → 3

Compiler

Compiled 377 to 86 computations (77.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
0.0b	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_9324`
1×	`add-sqr-sqrt_binary64_9307` `*-un-lft-identity_binary64_9285` `distribute-rgt-neg-out_binary64_9245` `pow1_binary64_9346` `add-cbrt-cube_binary64_9321` `flip-+_binary64_9259` `distribute-lft-out_binary64_9236` `sum-log_binary64_9376` `flip3-+_binary64_9288` `+-commutative_binary64_9215` `add-exp-log_binary64_9323` `add-cube-cbrt_binary64_9320` `unsub-neg_binary64_9279`

Counts

1 → 13

Calls

2 calls:

5.0ms	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
0.0ms	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))

series113.0ms (3.6%)

Counts

1 → 15

Calls

1 calls:

112.0ms

(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))

Compiler

Compiled 142 to 136 computations (4.2% saved)

simplify63.0ms (2%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4924	239
1	4924	239

prune15.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	28	3	31

Error

Counts

31 → 3

Compiler

Compiled 226 to 55 computations (75.7% saved)

localize9.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.6b	(cbrt.f64 (-.f64 x z))
0.5b	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
0.4b	(.f64 (.f64 y (*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))) (cbrt.f64 (-.f64 x z)))
0.2b	(.f64 y (.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z))))
0.5b	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
0.6b	(cbrt.f64 (-.f64 x z))
0.6b	(cbrt.f64 (-.f64 x z))
0.6b	(cbrt.f64 (-.f64 x z))

rewrite37.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_9316`
37×	`add-sqr-sqrt_binary64_9307`
35×	`*-un-lft-identity_binary64_9285`
18×	`cbrt-div_binary64_9317`
15×	`add-cube-cbrt_binary64_9320`
11×	`pow1_binary64_9346`
10×	`swap-sqr_binary64_9252`
9×	`flip--_binary64_9260` `flip3--_binary64_9289` `pow1/3_binary64_9367` `distribute-lft-out--_binary64_9237`
8×	`associate-l_binary64_9226` `associate-r_binary64_9225`
7×	`difference-of-squares_binary64_9254`
6×	`add-exp-log_binary64_9323`
4×	`frac-times_binary64_9295` `unswap-sqr_binary64_9253` `add-cbrt-cube_binary64_9321` `add-log-exp_binary64_9324`
2×	`associate-l/_binary64_9228` `pow-prod-down_binary64_9356` `pow-prod-up_binary64_9355` `associate-r/_binary64_9227` `pow-sqr_binary64_9258`
1×	`cbrt-unprod_binary64_9318` `prod-exp_binary64_9334` `pow-plus_binary64_9348` `*-commutative_binary64_9216` `pow2_binary64_9366`

Counts

4 → 101

Calls

8 calls:

14.0ms	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
4.0ms	(cbrt.f64 (-.f64 x z))
3.0ms	(cbrt.f64 (-.f64 x z))
3.0ms	(cbrt.f64 (-.f64 x z))
0.0ms	(.f64 y (.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z))))

series344.0ms (11%)

Counts

4 → 36

Calls

4 calls:

126.0ms	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
73.0ms	(cbrt.f64 (-.f64 x z))
73.0ms	(cbrt.f64 (-.f64 x z))
71.0ms	(cbrt.f64 (-.f64 x z))

Compiler

Compiled 1572 to 1245 computations (20.8% saved)

simplify91.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4980	1815
1	4980	1815

prune102.0ms (3.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	137	3	140

Error

Counts

140 → 3

Compiler

Compiled 2775 to 674 computations (75.7% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	71	124
1	71	124

regimes55.0ms (1.8%)

Compiler: Compiled 243 to 213 computations (12.3% saved)

bsearch0.0ms (0%)

regimes35.0ms (1.1%)

Compiler: Compiled 51 to 96 computations (-88.2% saved)

bsearch0.0ms (0%)

regimes121.0ms (3.9%)

Compiler: Compiled 36 to 81 computations (-125% saved)

bsearch77.0ms (2.5%)

Steps

Iters	Range		Point
10	4.274949028786581e-73	1.5388719632705386e-62	5.812261980561112e-63
5	-1.9037907213765918e-60	-5.4214176166583294e-61	-1.7995205751645115e-60
8	-1.2002893962480437e-24	-1.09587397472323e-27	-2.4479504511337867e-25
8	-239589.01282768763	-276.90636135809893	-281.779488173179

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes30.0ms (0.9%)

Compiler: Compiled 24 to 66 computations (-175% saved)

bsearch0.0ms (0%)

regimes27.0ms (0.9%)

Accuracy

Total 0.0b remaining (76.6%)

Threshold costs 0.0b (76.6%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 51 to 41 computations (19.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	73	61
1	73	61

end0.0ms (0%)

sample1.0s (32.8%)

Algorithm

1×

intervals

Results

203.0ms	5776×	body	128	valid
103.0ms	859×	body	1024	valid
71.0ms	473×	body	2048	valid
54.0ms	572×	body	512	valid
51.0ms	1554×	body	128	invalid
20.0ms	320×	body	256	valid
18.0ms	204×	body	512	invalid
17.0ms	139×	body	1024	invalid
10.0ms	156×	body	256	invalid

Compiler

Compiled 142 to 126 computations (11.3% saved)

Pareto

0.553849688399947

Details

analyze503.0ms (16.1%)

sample30.0ms (1%)

simplify237.0ms (7.6%)

prune4.0ms (0.1%)

localize4.0ms (0.1%)

rewrite14.0ms (0.5%)

series95.0ms (3%)

simplify47.0ms (1.5%)

prune28.0ms (0.9%)

localize6.0ms (0.2%)

rewrite6.0ms (0.2%)

series113.0ms (3.6%)

simplify63.0ms (2%)

prune15.0ms (0.5%)

localize9.0ms (0.3%)

rewrite37.0ms (1.2%)

series344.0ms (11%)

simplify91.0ms (2.9%)

prune102.0ms (3.2%)

simplify4.0ms (0.1%)

regimes55.0ms (1.8%)

bsearch0.0ms (0%)

regimes35.0ms (1.1%)

bsearch0.0ms (0%)

regimes121.0ms (3.9%)

bsearch77.0ms (2.5%)

regimes30.0ms (0.9%)

bsearch0.0ms (0%)

regimes27.0ms (0.9%)

bsearch4.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.0s (32.8%)

Profiling