Details

analyze520.0ms (15%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1161	52
1	1161	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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	60.8%	3.3%	9
44.1%	48%	7.9%	10
54.8%	36.9%	8.3%	11
57.6%	31.5%	10.9%	12
61.9%	24%	14.1%	13
67.2%	18.6%	14.2%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample15.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	25×	body	128	invalid

Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify34.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	537	13
1	537	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

2.3b

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 1 y) z)
2.2b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_19878`
9×	`-un-lft-identity_binary64_19856` `associate-l*_binary64_19797`
6×	`pow1_binary64_19917` `add-cube-cbrt_binary64_19891` `add-cbrt-cube_binary64_19892` `associate-r_binary64_19796` `add-exp-log_binary64_19894`
2×	`flip3--_binary64_19860` `unswap-sqr_binary64_19824` `-commutative_binary64_19787` `sub-neg_binary64_19849` `associate-l/_binary64_19799` `distribute-rgt-in_binary64_19806` `prod-exp_binary64_19905` `cancel-sign-sub-inv_binary64_19822` `difference-of-squares_binary64_19825` `associate-*r/_binary64_19798` `flip--_binary64_19831` `pow-prod-down_binary64_19927` `distribute-lft-in_binary64_19805` `cbrt-unprod_binary64_19889` `add-log-exp_binary64_19895`
1×	`distribute-lft-out--_binary64_19808`

Counts

2 → 47

Calls

2 calls:

7.0ms	(*.f64 (-.f64 1 y) z)
6.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

series57.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

37.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
20.0ms	(*.f64 (-.f64 1 y) z)

simplify72.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4963	645
1	4963	645

prune65.0ms (1.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	45	8	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	9	54

Error

2.2b

Counts

54 → 9

Compiler

Compiled 914 to 646 computations (29.3% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 x (.f64 (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z))) (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z)))))
2.4b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
2.4b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
2.4b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_19888`
10×	`associate-*r/_binary64_19798`
9×	`flip3--_binary64_19860` `pow1_binary64_19917` `add-sqr-sqrt_binary64_19878` `flip--_binary64_19831` `cbrt-prod_binary64_19887` `add-exp-log_binary64_19894`
8×	`add-cube-cbrt_binary64_19891` `*-un-lft-identity_binary64_19856`
7×	`add-cbrt-cube_binary64_19892`
4×	`frac-times_binary64_19866` `add-log-exp_binary64_19895`
3×	`prod-exp_binary64_19905` `pow1/3_binary64_19938` `pow-prod-down_binary64_19927` `cbrt-unprod_binary64_19889` `associate-l_binary64_19797`
2×	`associate-*l/_binary64_19799`
1×	`unswap-sqr_binary64_19824` `-commutative_binary64_19787` `associate-r*_binary64_19796`

Counts

4 → 66

Calls

4 calls:

12.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z))) (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z)))))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

series420.0ms (12.1%)

Counts

4 → 12

Calls

4 calls:

207.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z))) (cbrt.f64 (-.f64 1 (.f64 (-.f64 1 y) z)))))
75.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
70.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
67.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

simplify97.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5099	1769

prune147.0ms (4.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	78	9	87

Error

2.2b

Counts

87 → 9

Compiler

Compiled 2951 to 2207 computations (25.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))))
2.2b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
2.2b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
2.2b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite35.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_19878`
10×	`pow1_binary64_19917` `add-cube-cbrt_binary64_19891` `add-cbrt-cube_binary64_19892` `*-un-lft-identity_binary64_19856` `add-exp-log_binary64_19894`
9×	`associate-r_binary64_19796` `associate-l_binary64_19797`
8×	`associate-*r/_binary64_19798`
6×	`sub-neg_binary64_19849` `distribute-rgt-in_binary64_19806` `cancel-sign-sub-inv_binary64_19822` `distribute-lft-in_binary64_19805`
4×	`flip3--_binary64_19860` `flip--_binary64_19831` `add-log-exp_binary64_19895`
3×	`unswap-sqr_binary64_19824` `*-commutative_binary64_19787` `prod-exp_binary64_19905` `pow-prod-down_binary64_19927` `cbrt-unprod_binary64_19889`
2×	`cbrt-div_binary64_19888`
1×	`pow1/3_binary64_19938` `cbrt-prod_binary64_19887`

Counts

4 → 83

Calls

4 calls:

9.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
6.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
6.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
4.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))))

series288.0ms (8.3%)

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))))
41.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
37.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
36.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

simplify92.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4899	1517
1	4899	1517

prune177.0ms (5.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	95	9	104

Error

2.2b

Counts

104 → 9

Compiler

Compiled 3695 to 2667 computations (27.8% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_19895`
1×	`flip3--_binary64_19860` `sub-neg_binary64_19849` `pow1_binary64_19917` `add-cube-cbrt_binary64_19891` `add-sqr-sqrt_binary64_19878` `add-cbrt-cube_binary64_19892` `cancel-sign-sub-inv_binary64_19822` `diff-log_binary64_19948` `*-un-lft-identity_binary64_19856` `flip--_binary64_19831` `add-exp-log_binary64_19894`

Counts

1 → 12

Calls

1 calls:

3.0ms

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

series26.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify75.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5073	166

prune9.0ms (0.3%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	12	12	24

Error

2.2b

Counts

24 → 12

Compiler

Compiled 139 to 45 computations (67.6% saved)

regimes303.0ms (8.7%)

Accuracy

Total 0.2b remaining (5.2%)

Threshold costs 0.2b (5.2%)

Compiler

Compiled 3120 to 2643 computations (15.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	99	13
1	99	13

end0.0ms (0%)

sample952.0ms (27.4%)

Algorithm

1×

intervals

Results

236.0ms	8000×	body	128	valid
19.0ms	678×	body	128	invalid

Compiler

Compiled 512 to 425 computations (17% saved)

Details

analyze520.0ms (15%)

sample15.0ms (0.4%)

simplify34.0ms (1%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite16.0ms (0.5%)

series57.0ms (1.7%)

simplify72.0ms (2.1%)

prune65.0ms (1.9%)

localize11.0ms (0.3%)

rewrite29.0ms (0.8%)

series420.0ms (12.1%)

simplify97.0ms (2.8%)

prune147.0ms (4.2%)

localize11.0ms (0.3%)

rewrite35.0ms (1%)

series288.0ms (8.3%)

simplify92.0ms (2.7%)

prune177.0ms (5.1%)

localize3.0ms (0.1%)

rewrite4.0ms (0.1%)

series26.0ms (0.8%)

simplify75.0ms (2.2%)

prune9.0ms (0.3%)

regimes303.0ms (8.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample952.0ms (27.4%)

Profiling