Details

analyze2.0s (32.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4968	400
1	4968	400
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
2.3%	97.4%	0.3%	14

Compiler

Compiled 18 to 18 computations (0% saved)

sample36.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
5.0ms	106×	body	128	invalid

Compiler

Compiled 35 to 41 computations (-17.1% saved)

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	788	25
1	788	25

prune3.0ms (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

2.9b

Counts

2 → 1

Compiler

Compiled 34 to 34 computations (0% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 (.f64 a 27) b))
0.2b	(.f64 (.f64 y 9) z)
0.2b	(.f64 (.f64 a 27) b)
6.7b	(.f64 (.f64 (*.f64 y 9) z) t)

rewrite32.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`pow1_binary64_18212` `add-cbrt-cube_binary64_18187` `add-exp-log_binary64_18189`
12×	`pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
9×	`associate-r_binary64_18091` `add-log-exp_binary64_18190`
7×	`*-un-lft-identity_binary64_18151` `add-sqr-sqrt_binary64_18173` `add-cube-cbrt_binary64_18186`
3×	`-commutative_binary64_18082` `associate-l*_binary64_18092`
2×	`associate-+l+_binary64_18084` `sum-log_binary64_18242`
1×	`diff-log_binary64_18243` `flip-+_binary64_18125` `associate-+l-_binary64_18086` `cancel-sign-sub-inv_binary64_18117` `+-commutative_binary64_18081` `sub-neg_binary64_18144` `flip3-+_binary64_18154`

Counts

4 → 72

Calls

4 calls:

9.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 (.f64 a 27) b))
7.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
5.0ms	(.f64 (.f64 y 9) z)
5.0ms	(.f64 (.f64 a 27) b)

series187.0ms (3%)

Counts

4 → 12

Calls

4 calls:

131.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 (.f64 a 27) b))
27.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
15.0ms	(.f64 (.f64 y 9) z)
15.0ms	(.f64 (.f64 a 27) b)

simplify91.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4978	1170
1	4978	1170

prune111.0ms (1.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	75	9	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	9	85

Error

0.0b

Counts

85 → 9

Compiler

Compiled 1980 to 1323 computations (33.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 y (.f64 9 z)) t)) (.f64 (.f64 a 27) b))
0.2b	(.f64 y (.f64 9 z))
0.2b	(.f64 (.f64 a 27) b)
6.7b	(.f64 (.f64 y (*.f64 9 z)) t)

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`pow1_binary64_18212` `add-cbrt-cube_binary64_18187` `add-exp-log_binary64_18189`
12×	`pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
9×	`add-log-exp_binary64_18190`
7×	`-un-lft-identity_binary64_18151` `associate-r*_binary64_18091` `add-sqr-sqrt_binary64_18173` `add-cube-cbrt_binary64_18186`
5×	`associate-l_binary64_18092`
3×	`*-commutative_binary64_18082`
2×	`associate-+l+_binary64_18084` `sum-log_binary64_18242`
1×	`diff-log_binary64_18243` `flip-+_binary64_18125` `associate-+l-_binary64_18086` `cancel-sign-sub-inv_binary64_18117` `+-commutative_binary64_18081` `sub-neg_binary64_18144` `flip3-+_binary64_18154`

Counts

4 → 72

Calls

4 calls:

8.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 y (.f64 9 z)) t)) (.f64 (.f64 a 27) b))
7.0ms	(.f64 (.f64 y (*.f64 9 z)) t)
5.0ms	(.f64 y (.f64 9 z))
5.0ms	(.f64 (.f64 a 27) b)

series194.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

136.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 y (.f64 9 z)) t)) (.f64 (.f64 a 27) b))
26.0ms	(.f64 (.f64 y (*.f64 9 z)) t)
16.0ms	(.f64 (.f64 a 27) b)
15.0ms	(.f64 y (.f64 9 z))

simplify90.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4976	1171
1	4976	1171

prune92.0ms (1.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	83	10	93

Error

0.0b

Counts

93 → 10

Compiler

Compiled 1982 to 1325 computations (33.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 a (.f64 27 b)))
0.2b	(.f64 (.f64 y 9) z)
0.2b	(.f64 a (.f64 27 b))
6.7b	(.f64 (.f64 (*.f64 y 9) z) t)

rewrite33.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`pow1_binary64_18212` `add-cbrt-cube_binary64_18187` `add-exp-log_binary64_18189`
12×	`pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
9×	`add-log-exp_binary64_18190`
7×	`-un-lft-identity_binary64_18151` `associate-r*_binary64_18091` `add-sqr-sqrt_binary64_18173` `add-cube-cbrt_binary64_18186`
5×	`associate-l_binary64_18092`
3×	`*-commutative_binary64_18082`
2×	`associate-+l+_binary64_18084` `sum-log_binary64_18242`
1×	`diff-log_binary64_18243` `flip-+_binary64_18125` `associate-+l-_binary64_18086` `cancel-sign-sub-inv_binary64_18117` `+-commutative_binary64_18081` `sub-neg_binary64_18144` `flip3-+_binary64_18154`

Counts

4 → 72

Calls

4 calls:

8.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 a (.f64 27 b)))
7.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
5.0ms	(.f64 (.f64 y 9) z)
5.0ms	(.f64 a (.f64 27 b))

series188.0ms (3%)

Counts

4 → 12

Calls

4 calls:

130.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 a (.f64 27 b)))
28.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
16.0ms	(.f64 a (.f64 27 b))
15.0ms	(.f64 (.f64 y 9) z)

simplify71.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4957	1168
1	4957	1168

prune100.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	85	9	94

Error

0.0b

Counts

94 → 9

Compiler

Compiled 1965 to 1308 computations (33.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 y (.f64 (.f64 9 z) t))) (.f64 (.f64 a 27) b))
0.2b	(.f64 (.f64 9 z) t)
0.2b	(.f64 (.f64 a 27) b)
4.7b	(.f64 y (.f64 (*.f64 9 z) t))

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`pow1_binary64_18212` `add-cbrt-cube_binary64_18187` `add-exp-log_binary64_18189`
12×	`pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
9×	`add-log-exp_binary64_18190`
7×	`-un-lft-identity_binary64_18151` `associate-r*_binary64_18091` `add-sqr-sqrt_binary64_18173` `add-cube-cbrt_binary64_18186`
5×	`associate-l_binary64_18092`
3×	`*-commutative_binary64_18082`
2×	`associate-+l+_binary64_18084` `sum-log_binary64_18242`
1×	`diff-log_binary64_18243` `flip-+_binary64_18125` `associate-+l-_binary64_18086` `cancel-sign-sub-inv_binary64_18117` `+-commutative_binary64_18081` `sub-neg_binary64_18144` `flip3-+_binary64_18154`

Counts

4 → 72

Calls

4 calls:

7.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 y (.f64 (.f64 9 z) t))) (.f64 (.f64 a 27) b))
7.0ms	(.f64 y (.f64 (*.f64 9 z) t))
5.0ms	(.f64 (.f64 9 z) t)
5.0ms	(.f64 (.f64 a 27) b)

series197.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

140.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 y (.f64 (.f64 9 z) t))) (.f64 (.f64 a 27) b))
28.0ms	(.f64 y (.f64 (*.f64 9 z) t))
15.0ms	(.f64 (.f64 a 27) b)
14.0ms	(.f64 (.f64 9 z) t)

simplify90.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4965	1171
1	4965	1171

prune83.0ms (1.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	83	10	93

Error

0.0b

Counts

93 → 10

Compiler

Compiled 1752 to 1126 computations (35.7% saved)

regimes849.0ms (13.5%)

Accuracy

Total 0.7b remaining (96.8%)

Threshold costs 0.7b (96.8%)

Compiler

Compiled 8420 to 7956 computations (5.5% saved)

bsearch25.0ms (0.4%)

Steps

Iters	Range		Point
6	2.4804868437720674e-112	3.906637908678352e-111	1.3724344352298864e-111

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	120	56
1	120	56

Compiler

Compiled 152 to 124 computations (18.4% saved)

end0.0ms (0%)

sample1.6s (25.6%)

Algorithm

1×

intervals

Results

406.0ms	8000×	body	128	valid
156.0ms	2997×	body	128	invalid

Compiler

Compiled 631 to 585 computations (7.3% saved)

Details

analyze2.0s (32.2%)

sample36.0ms (0.6%)

simplify59.0ms (0.9%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite32.0ms (0.5%)

series187.0ms (3%)

simplify91.0ms (1.4%)

prune111.0ms (1.8%)

localize13.0ms (0.2%)

rewrite30.0ms (0.5%)

series194.0ms (3.1%)

simplify90.0ms (1.4%)

prune92.0ms (1.5%)

localize13.0ms (0.2%)

rewrite33.0ms (0.5%)

series188.0ms (3%)

simplify71.0ms (1.1%)

prune100.0ms (1.6%)

localize14.0ms (0.2%)

rewrite30.0ms (0.5%)

series197.0ms (3.1%)

simplify90.0ms (1.4%)

prune83.0ms (1.3%)

regimes849.0ms (13.5%)

bsearch25.0ms (0.4%)

simplify18.0ms (0.3%)

end0.0ms (0%)

sample1.6s (25.6%)

Profiling