Details

analyze621.0ms (12.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	61×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify214.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	704	13
1	704	13

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

Merged error: 2.3b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
6.6b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_16957`
13×	`associate-r_binary64_16875`
12×	`*-un-lft-identity_binary64_16935`
10×	`times-frac_binary64_16941` `add-cube-cbrt_binary64_16970`
7×	`add-cbrt-cube_binary64_16971` `add-exp-log_binary64_16973`
5×	`associate-l_binary64_16876`
4×	`pow1_binary64_16996` `add-log-exp_binary64_16974`
2×	`cbrt-unprod_binary64_16968` `unswap-sqr_binary64_16903` `associate-*l/_binary64_16878` `frac-times_binary64_16945` `flip--_binary64_16910` `flip3--_binary64_16939` `prod-exp_binary64_16984`
1×	`associate-r/_binary64_16877` `flip3-+_binary64_16938` `difference-of-squares_binary64_16904` `pow-prod-down_binary64_17006` `div-exp_binary64_16986` `div-inv_binary64_16932` `flip-+_binary64_16909` `distribute-lft-out--_binary64_16887` `+-commutative_binary64_16865` `sum-log_binary64_17026` `-commutative_binary64_16866` `cbrt-undiv_binary64_16969`

Counts

2 → 49

Calls

2 calls:

12.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

series188.0ms (3.8%)

Counts

2 → 6

Calls

2 calls:

108.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
80.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

simplify65.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5329	832

prune145.0ms (2.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	8	56

Merged error: 0.0b

Counts

56 → 8

Compiler

Compiled 2547 to 1410 computations (44.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
1.1b	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite31.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_16973`
14×	`add-cbrt-cube_binary64_16971` `add-sqr-sqrt_binary64_16957`
11×	`*-un-lft-identity_binary64_16935`
9×	`cbrt-unprod_binary64_16968` `add-cube-cbrt_binary64_16970` `cbrt-prod_binary64_16966` `prod-exp_binary64_16984`
6×	`pow1_binary64_16996`
5×	`associate-l_binary64_16876` `associate-r_binary64_16875`
4×	`div-exp_binary64_16986` `add-log-exp_binary64_16974` `cbrt-undiv_binary64_16969`
3×	`pow1/3_binary64_17017`
2×	`unswap-sqr_binary64_16903` `times-frac_binary64_16941` `associate-*l/_binary64_16878` `frac-times_binary64_16945` `flip--_binary64_16910` `flip3--_binary64_16939`
1×	`associate-r/_binary64_16877` `difference-of-squares_binary64_16904` `pow-prod-down_binary64_17006` `div-inv_binary64_16932` `distribute-lft-out--_binary64_16887` `-commutative_binary64_16866`

Counts

4 → 69

Calls

4 calls:

17.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series723.0ms (14.6%)

Counts

4 → 12

Calls

4 calls:

273.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
156.0ms	(cbrt.f64 t)
152.0ms	(cbrt.f64 t)
142.0ms	(cbrt.f64 t)

simplify37.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5066	1111

prune83.0ms (1.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

Compiler

Compiled 2222 to 606 computations (72.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
4.7b	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-exp-log_binary64_16973`
22×	`associate-r_binary64_16875`
20×	`add-cube-cbrt_binary64_16970` `add-sqr-sqrt_binary64_16957` `*-un-lft-identity_binary64_16935`
18×	`times-frac_binary64_16941` `add-cbrt-cube_binary64_16971` `cbrt-prod_binary64_16966`
13×	`pow1_binary64_16996`
12×	`cbrt-unprod_binary64_16968` `prod-exp_binary64_16984`
6×	`pow-prod-down_binary64_17006` `associate-*l/_binary64_16878`
4×	`add-log-exp_binary64_16974`
3×	`pow1/3_binary64_17017` `div-exp_binary64_16986` `cbrt-undiv_binary64_16969`
2×	`frac-times_binary64_16945` `flip--_binary64_16910` `flip3--_binary64_16939`
1×	`associate-r/_binary64_16877` `associate-l_binary64_16876` `div-inv_binary64_16932` `-commutative_binary64_16866`

Counts

4 → 84

Calls

4 calls:

19.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series647.0ms (13.1%)

Counts

4 → 12

Calls

4 calls:

193.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))
155.0ms	(cbrt.f64 z)
154.0ms	(cbrt.f64 z)
145.0ms	(cbrt.f64 z)

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4963	1116
1	4963	1116

prune95.0ms (1.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	95	9	104

Merged error: 0.0b

Counts

104 → 9

Compiler

Compiled 2133 to 774 computations (63.7% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 z))
0.6b	(cbrt.f64 (cbrt.f64 z))
0.6b	(cbrt.f64 (cbrt.f64 z))
4.7b	(.f64 (.f64 (-.f64 y x) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (cbrt.f64 z))) t))

rewrite45.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-exp-log_binary64_16973`
38×	`add-cbrt-cube_binary64_16971`
33×	`cbrt-unprod_binary64_16968` `prod-exp_binary64_16984`
27×	`cbrt-prod_binary64_16966`
13×	`pow1_binary64_16996`
12×	`add-cube-cbrt_binary64_16970` `add-sqr-sqrt_binary64_16957` `*-un-lft-identity_binary64_16935`
9×	`div-exp_binary64_16986` `cbrt-undiv_binary64_16969`
7×	`associate-r_binary64_16875`
6×	`pow-prod-down_binary64_17006` `associate-*l/_binary64_16878`
4×	`add-log-exp_binary64_16974`
3×	`pow1/3_binary64_17017` `times-frac_binary64_16941`
2×	`frac-times_binary64_16945` `flip--_binary64_16910` `flip3--_binary64_16939`
1×	`associate-r/_binary64_16877` `associate-l_binary64_16876` `div-inv_binary64_16932` `-commutative_binary64_16866`

Counts

4 → 90

Calls

4 calls:

28.0ms	(.f64 (.f64 (-.f64 y x) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (cbrt.f64 z))) t))
2.0ms	(cbrt.f64 (cbrt.f64 z))
2.0ms	(cbrt.f64 (cbrt.f64 z))
2.0ms	(cbrt.f64 (cbrt.f64 z))

series815.0ms (16.5%)

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt.f64 (cbrt.f64 z))
206.0ms	(cbrt.f64 (cbrt.f64 z))
204.0ms	(.f64 (.f64 (-.f64 y x) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (cbrt.f64 z))) t))
192.0ms	(cbrt.f64 (cbrt.f64 z))

simplify65.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4988	1188
1	4988	1188

prune82.0ms (1.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	102	9	111

Merged error: 0.0b

Counts

111 → 9

Compiler

Compiled 2258 to 481 computations (78.7% saved)

regimes113.0ms (2.3%)

Compiler: Compiled 932 to 676 computations (27.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	37
1	28	37

end0.0ms (0%)

sample781.0ms (15.8%)

Algorithm

1×

intervals

Results

258.0ms	8000×	body	128	valid
65.0ms	2018×	body	128	invalid

Compiler

Compiled 230 to 149 computations (35.2% saved)

Details

analyze621.0ms (12.5%)

sample20.0ms (0.4%)

simplify214.0ms (4.3%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite20.0ms (0.4%)

series188.0ms (3.8%)

simplify65.0ms (1.3%)

prune145.0ms (2.9%)

localize15.0ms (0.3%)

rewrite31.0ms (0.6%)

series723.0ms (14.6%)

simplify37.0ms (0.7%)

prune83.0ms (1.7%)

localize10.0ms (0.2%)

rewrite34.0ms (0.7%)

series647.0ms (13.1%)

simplify74.0ms (1.5%)

prune95.0ms (1.9%)

localize15.0ms (0.3%)

rewrite45.0ms (0.9%)

series815.0ms (16.5%)

simplify65.0ms (1.3%)

prune82.0ms (1.7%)

regimes113.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample781.0ms (15.8%)

Profiling