Details

analyze518.0ms (15.9%)

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)

sample34.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms	171×	body	128	valid
4.0ms	30×	body	1024	valid
3.0ms	22×	body	2048	valid
2.0ms	21×	body	512	valid
2.0ms	49×	body	128	invalid
1.0ms	9×	body	1024	invalid
1.0ms	10×	body	512	invalid
1.0ms	12×	body	256	valid
1.0ms	11×	body	256	invalid

Compiler

Compiled 31 to 22 computations (29% saved)

simplify341.0ms (10.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (248.0ms)

Iter	Nodes	Cost
0	6666	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))

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_15104`
7×	`*-un-lft-identity_binary64_15082`
6×	`cancel-sign-sub-inv_binary64_15048`
5×	`add-cube-cbrt_binary64_15117` `associate-r_binary64_15022`
4×	`distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031`
3×	`add-cbrt-cube_binary64_15118` `pow1_binary64_15143` `associate-l_binary64_15023` `add-exp-log_binary64_15120`
2×	`sub-neg_binary64_15075` `associate-*r/_binary64_15024`
1×	`pow-prod-down_binary64_15153` `unswap-sqr_binary64_15050` `prod-exp_binary64_15131` `distribute-lft-out--_binary64_15034` `flip3--_binary64_15086` `difference-of-squares_binary64_15051` `cbrt-unprod_binary64_15115` `add-log-exp_binary64_15121` `*-commutative_binary64_15013` `flip--_binary64_15057`

Counts

1 → 30

Calls

2 calls:

8.0ms	(*.f64 y (-.f64 x z))
0.0ms	(*.f64 y (-.f64 x z))

series100.0ms (3.1%)

Counts

1 → 15

Calls

1 calls:

100.0ms

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

Compiler

Compiled 138 to 132 computations (4.3% saved)

simplify49.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (39.0ms)

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)))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_15121`
1×	`sum-log_binary64_15173` `add-cube-cbrt_binary64_15117` `flip-+_binary64_15056` `add-cbrt-cube_binary64_15118` `*-un-lft-identity_binary64_15082` `pow1_binary64_15143` `+-commutative_binary64_15012` `unsub-neg_binary64_15076` `distribute-lft-out_binary64_15033` `add-exp-log_binary64_15120` `distribute-rgt-neg-out_binary64_15042` `add-sqr-sqrt_binary64_15104` `flip3-+_binary64_15085`

Counts

1 → 13

Calls

2 calls:

4.0ms	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
0.0ms	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))

series105.0ms (3.2%)

Counts

1 → 15

Calls

1 calls:

105.0ms

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

Compiler

Compiled 142 to 136 computations (4.2% saved)

simplify63.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4924	239
1	4924	239

prune15.0ms (0.4%)

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))

rewrite31.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_15113`
37×	`add-sqr-sqrt_binary64_15104`
35×	`*-un-lft-identity_binary64_15082`
18×	`cbrt-div_binary64_15114`
15×	`add-cube-cbrt_binary64_15117`
11×	`pow1_binary64_15143`
10×	`swap-sqr_binary64_15049`
9×	`pow1/3_binary64_15164` `distribute-lft-out--_binary64_15034` `flip3--_binary64_15086` `flip--_binary64_15057`
8×	`associate-l_binary64_15023` `associate-r_binary64_15022`
7×	`difference-of-squares_binary64_15051`
6×	`add-exp-log_binary64_15120`
4×	`unswap-sqr_binary64_15050` `frac-times_binary64_15092` `add-cbrt-cube_binary64_15118` `add-log-exp_binary64_15121`
2×	`pow-prod-down_binary64_15153` `pow-prod-up_binary64_15152` `pow-sqr_binary64_15055` `associate-l/_binary64_15025` `associate-r/_binary64_15024`
1×	`prod-exp_binary64_15131` `pow2_binary64_15163` `cbrt-unprod_binary64_15115` `*-commutative_binary64_15013` `pow-plus_binary64_15145`

Counts

4 → 101

Calls

8 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
3.0ms	(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))))

series355.0ms (10.9%)

Counts

4 → 36

Calls

4 calls:

129.0ms	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
77.0ms	(cbrt.f64 (-.f64 x z))
76.0ms	(cbrt.f64 (-.f64 x z))
73.0ms	(cbrt.f64 (-.f64 x z))

Compiler

Compiled 1572 to 1245 computations (20.8% saved)

simplify89.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4980	1815
1	4980	1815

prune104.0ms (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	68	124
1	68	124

regimes53.0ms (1.6%)

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%)

regimes119.0ms (3.6%)

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

bsearch74.0ms (2.3%)

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%)

regimes26.0ms (0.8%)

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 (32.1%)

Algorithm

1×

intervals

Results

205.0ms	5776×	body	128	valid
108.0ms	859×	body	1024	valid
71.0ms	473×	body	2048	valid
54.0ms	573×	body	512	valid
48.0ms	1329×	body	128	invalid
27.0ms	301×	body	512	invalid
23.0ms	195×	body	1024	invalid
23.0ms	319×	body	256	valid
14.0ms	228×	body	256	invalid

Compiler

Compiled 142 to 126 computations (11.3% saved)

Pareto

0.553849688399947

Details

analyze518.0ms (15.9%)

sample34.0ms (1%)

simplify341.0ms (10.4%)

prune4.0ms (0.1%)

localize4.0ms (0.1%)

rewrite10.0ms (0.3%)

series100.0ms (3.1%)

simplify49.0ms (1.5%)

prune28.0ms (0.9%)

localize6.0ms (0.2%)

rewrite5.0ms (0.2%)

series105.0ms (3.2%)

simplify63.0ms (1.9%)

prune15.0ms (0.4%)

localize9.0ms (0.3%)

rewrite31.0ms (1%)

series355.0ms (10.9%)

simplify89.0ms (2.7%)

prune104.0ms (3.2%)

simplify4.0ms (0.1%)

regimes53.0ms (1.6%)

bsearch0.0ms (0%)

regimes35.0ms (1.1%)

bsearch0.0ms (0%)

regimes119.0ms (3.6%)

bsearch74.0ms (2.3%)

regimes30.0ms (0.9%)

bsearch0.0ms (0%)

regimes26.0ms (0.8%)

bsearch4.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.0s (32.1%)

Profiling