Details

analyze481.0ms (3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	361	40
1	361	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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
39%	57.7%	3.3%	9
47.6%	46%	6.4%	10
58.1%	35.5%	6.4%	11
62.2%	29.1%	8.7%	12
66.2%	22.7%	11.1%	13
71.3%	17.6%	11.1%	14

Symmetry

(sort y z)

Compiler

Compiled 8 to 8 computations (0% saved)

sample364.0ms (2.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
2.0ms	55×	body	128	invalid

Compiler

Compiled 2503 to 3439 computations (-37.4% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	241	10
1	241	10

prune2.0ms (0%)

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

3.9b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

3.7b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite32.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

3.8b

Rules

5×	`add-sqr-sqrt_binary64_5215`
3×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `-un-lft-identity_binary64_5193` `associate-l_binary64_5134` `associate-r*_binary64_5133`
2×	`sub-neg_binary64_5186` `distribute-rgt-in_binary64_5143` `cancel-sign-sub-inv_binary64_5159` `distribute-lft-in_binary64_5142` `associate-*r/_binary64_5135`
1×	`pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `add-log-exp_binary64_5232` `cbrt-unprod_binary64_5226` `unswap-sqr_binary64_5161` `flip3--_binary64_5197` `flip--_binary64_5168` `*-commutative_binary64_5124`

Counts

1 → 24

Calls

1 calls:

6.0ms

(*.f64 x (-.f64 1 (*.f64 y z)))

Compiler

Compiled 340 to 178 computations (47.6% saved)

series178.0ms (1.1%)

Error

3.8b

Counts

1 → 15

Calls

1 calls:

170.0ms

(*.f64 x (-.f64 1 (*.f64 y z)))

Compiler

Compiled 249 to 171 computations (31.3% saved)

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4868	429
1	4868	429

prune41.0ms (0.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	30	9	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	9	40

Error

3.7b

Counts

40 → 9

Compiler

Compiled 533 to 284 computations (46.7% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (neg.f64 (.f64 x (.f64 z y))))
7.8b	(.f64 x (.f64 z y))

rewrite44.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
6×	`add-log-exp_binary64_5232`
5×	`*-un-lft-identity_binary64_5193`
3×	`pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `add-cube-cbrt_binary64_5228` `cbrt-unprod_binary64_5226` `add-sqr-sqrt_binary64_5215` `associate-l_binary64_5134`
2×	`sum-log_binary64_5284`
1×	`associate-r_binary64_5133` `*-commutative_binary64_5124` `neg-log_binary64_5286` `flip3-+_binary64_5196` `unsub-neg_binary64_5187` `flip-+_binary64_5167` `distribute-lft-out_binary64_5144` `neg-sub0_binary64_5188` `associate-+r-_binary64_5127` `+-commutative_binary64_5123`

Counts

2 → 33

Calls

2 calls:

5.0ms	(.f64 x (.f64 z y))
4.0ms	(+.f64 x (neg.f64 (.f64 x (.f64 z y))))

Compiler

Compiled 475 to 141 computations (70.3% saved)

series321.0ms (2%)

Error

3.7b

Counts

2 → 24

Calls

2 calls:

179.0ms	(+.f64 x (neg.f64 (.f64 x (.f64 z y))))
129.0ms	(.f64 x (.f64 z y))

Compiler

Compiled 471 to 305 computations (35.2% saved)

simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4892	548
1	4892	548

prune40.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	5	3	8
Picked	0	1	1
Done	0	0	0
Total	60	6	66

Error

0.0b

Counts

66 → 6

Compiler

Compiled 632 to 181 computations (71.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (cbrt.f64 (-.f64 1 (.f64 z y))) (cbrt.f64 (-.f64 1 (*.f64 z y))))
3.8b	(cbrt.f64 (-.f64 1 (*.f64 z y)))
3.8b	(cbrt.f64 (-.f64 1 (*.f64 z y)))
3.8b	(cbrt.f64 (-.f64 1 (*.f64 y z)))

rewrite173.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_5224`
23×	`add-sqr-sqrt_binary64_5215`
18×	`cbrt-div_binary64_5225`
15×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
11×	`pow1_binary64_5254`
9×	`pow1/3_binary64_5275` `flip3--_binary64_5197` `flip--_binary64_5168`
6×	`add-exp-log_binary64_5231` `swap-sqr_binary64_5160` `associate-l_binary64_5134` `associate-r_binary64_5133`
4×	`add-log-exp_binary64_5232` `add-cbrt-cube_binary64_5229` `frac-times_binary64_5203` `unswap-sqr_binary64_5161`
2×	`pow-prod-down_binary64_5264` `pow-prod-up_binary64_5263` `pow-sqr_binary64_5166` `associate-l/_binary64_5136` `associate-r/_binary64_5135`
1×	`pow2_binary64_5274` `pow-plus_binary64_5256` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `*-commutative_binary64_5124`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (-.f64 1 (.f64 z y))) (cbrt.f64 (-.f64 1 (*.f64 z y))))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
2.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
2.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

Compiler

Compiled 2834 to 1638 computations (42.2% saved)

series858.0ms (5.3%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

245.0ms	(.f64 (cbrt.f64 (-.f64 1 (.f64 z y))) (cbrt.f64 (-.f64 1 (*.f64 z y))))
184.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
175.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
163.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))

Compiler

Compiled 4758 to 3563 computations (25.1% saved)

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4953	2520
1	4953	2520

prune217.0ms (1.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	135	8	143

Error

0.0b

Counts

143 → 8

Compiler

Compiled 3882 to 2226 computations (42.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.8b	(cbrt.f64 (-.f64 1 (*.f64 z y)))
3.8b	(cbrt.f64 (-.f64 1 (*.f64 z y)))
3.8b	(cbrt.f64 (-.f64 1 (*.f64 z y)))
3.8b	(cbrt.f64 (-.f64 1 (*.f64 z y)))

rewrite136.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64_5224`
8×	`add-cube-cbrt_binary64_5228` `cbrt-div_binary64_5225` `add-sqr-sqrt_binary64_5215` `*-un-lft-identity_binary64_5193`
4×	`pow1/3_binary64_5275` `pow1_binary64_5254` `add-log-exp_binary64_5232` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `flip3--_binary64_5197` `flip--_binary64_5168`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
2.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))

Compiler

Compiled 2224 to 1389 computations (37.5% saved)

series866.0ms (5.3%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

200.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
196.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
178.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
176.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))

Compiler

Compiled 5992 to 4319 computations (27.9% saved)

simplify109.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5058	1484

prune210.0ms (1.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	100	8	108

Error

0.0b

Counts

108 → 8

Compiler

Compiled 3896 to 2306 computations (40.8% saved)

regimes886.0ms (5.5%)

Accuracy

Total 0.1b remaining (86.5%)

Threshold costs 0.1b (86.5%)

Compiler

Compiled 4918 to 3696 computations (24.8% saved)

bsearch3.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	88	40
1	88	40

Remove

(sort y z)

Compiler

Compiled 54 to 32 computations (40.7% saved)

end0.0ms (0%)

sample11.0s (67.7%)

Algorithm

1×

intervals

Results

192.0ms	8000×	body	128	valid
65.0ms	1611×	body	128	invalid

Compiler

Compiled 77664 to 106299 computations (-36.9% saved)

Details

analyze481.0ms (3%)

sample364.0ms (2.3%)

simplify19.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0%)

rewrite32.0ms (0.2%)

series178.0ms (1.1%)

simplify58.0ms (0.4%)

prune41.0ms (0.3%)

localize6.0ms (0%)

rewrite44.0ms (0.3%)

series321.0ms (2%)

simplify82.0ms (0.5%)

prune40.0ms (0.2%)

localize12.0ms (0.1%)

rewrite173.0ms (1.1%)

series858.0ms (5.3%)

simplify64.0ms (0.4%)

prune217.0ms (1.3%)

localize14.0ms (0.1%)

rewrite136.0ms (0.8%)

series866.0ms (5.3%)

simplify109.0ms (0.7%)

prune210.0ms (1.3%)

regimes886.0ms (5.5%)

bsearch3.0ms (0%)

simplify11.0ms (0.1%)

end0.0ms (0%)

sample11.0s (67.7%)

Profiling