Details

analyze7.0s (4.6%)

Algorithm

1×

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)

sample310.0ms (0.2%)

Algorithm

1×

intervals

Results

50.0ms	256×	body	128	valid
11.0ms	104×	body	128	invalid

Compiler

Compiled 35 to 41 computations (-17.1% saved)

simplify516.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	788	25
1	788	25

prune6.0ms (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: 3.7b

Counts

2 → 1

Compiler

Compiled 34 to 34 computations (0% saved)

localize31.0ms (0%)

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))
0.5b	(.f64 (.f64 y 9) z)
0.5b	(.f64 (.f64 a 27) b)
6.1b	(.f64 (.f64 (*.f64 y 9) z) t)

rewrite197.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`pow1_binary64_21281` `add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258`
12×	`prod-exp_binary64_21269` `pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253`
9×	`associate-r_binary64_21160` `add-log-exp_binary64_21259`
7×	`add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220` `add-sqr-sqrt_binary64_21242`
3×	`-commutative_binary64_21151` `associate-l*_binary64_21161`
2×	`associate-+l+_binary64_21153` `sum-log_binary64_21311`
1×	`associate-+l-_binary64_21155` `cancel-sign-sub-inv_binary64_21186` `sub-neg_binary64_21213` `flip3-+_binary64_21223` `diff-log_binary64_21312` `flip-+_binary64_21194` `+-commutative_binary64_21150`

Counts

4 → 72

Calls

4 calls:

136.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
17.0ms	(.f64 (.f64 a 27) b)
14.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 (.f64 a 27) b))
9.0ms	(.f64 (.f64 y 9) z)

series550.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

445.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 (.f64 a 27) b))
48.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
29.0ms	(.f64 (.f64 a 27) b)
28.0ms	(.f64 (.f64 y 9) z)

simplify339.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (293.0ms)

Iter	Nodes	Cost
0	4978	1170
1	4978	1170

prune2.1s (1.4%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	59	25	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	25	85

Merged error: 0.3b

Counts

85 → 25

Compiler

Compiled 2407 to 1691 computations (29.7% saved)

localize84.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (pow.f64 (.f64 (.f64 (.f64 y 9) z) t) 1)) (.f64 (.f64 a 27) b))
0.5b	(.f64 (.f64 y 9) z)
0.5b	(.f64 (.f64 a 27) b)
6.1b	(.f64 (.f64 (*.f64 y 9) z) t)

rewrite90.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`pow1_binary64_21281` `add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258`
12×	`prod-exp_binary64_21269` `pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253`
9×	`associate-r_binary64_21160` `add-log-exp_binary64_21259`
8×	`add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220` `add-sqr-sqrt_binary64_21242`
6×	`associate-+l+_binary64_21153`
5×	`cancel-sign-sub-inv_binary64_21186`
3×	`-commutative_binary64_21151` `associate-l*_binary64_21161`
2×	`sum-log_binary64_21311`
1×	`associate-+l-_binary64_21155` `sub-neg_binary64_21213` `flip3-+_binary64_21223` `diff-log_binary64_21312` `sqr-pow_binary64_21192` `unpow-prod-down_binary64_21299` `flip-+_binary64_21194` `+-commutative_binary64_21150`

Counts

4 → 76

Calls

4 calls:

36.0ms	(+.f64 (-.f64 (.f64 x 2) (pow.f64 (.f64 (.f64 (.f64 y 9) z) t) 1)) (.f64 (.f64 a 27) b))
14.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
10.0ms	(.f64 (.f64 y 9) z)
9.0ms	(.f64 (.f64 a 27) b)

series612.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

495.0ms	(+.f64 (-.f64 (.f64 x 2) (pow.f64 (.f64 (.f64 (.f64 y 9) z) t) 1)) (.f64 (.f64 a 27) b))
55.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
28.0ms	(.f64 (.f64 a 27) b)
27.0ms	(.f64 (.f64 y 9) z)

simplify208.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4929	1246
1	4929	1246

prune2.5s (1.7%)

Pruning

43 alts after pruning (43 fresh and 0 done)

	Pruned	Kept	Total
New	69	19	88
Fresh	0	24	24
Picked	1	0	1
Done	0	0	0
Total	70	43	113

Merged error: 0.3b

Counts

113 → 43

Compiler

Compiled 3061 to 2289 computations (25.2% saved)

localize102.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (pow.f64 (.f64 (pow.f64 (.f64 (.f64 y 9) z) 1) t) 1)) (.f64 (.f64 a 27) b))
0.5b	(.f64 (.f64 y 9) z)
0.5b	(.f64 (.f64 a 27) b)
6.1b	(.f64 (pow.f64 (.f64 (*.f64 y 9) z) 1) t)

rewrite150.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64_21258`
16×	`add-cbrt-cube_binary64_21256`
15×	`pow1_binary64_21281`
14×	`prod-exp_binary64_21269`
12×	`add-sqr-sqrt_binary64_21242`
9×	`associate-r_binary64_21160` `add-log-exp_binary64_21259` `add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220`
7×	`pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253` `associate-l_binary64_21161`
6×	`associate-+l+_binary64_21153`
5×	`cancel-sign-sub-inv_binary64_21186`
3×	`pow-exp_binary64_21288` `*-commutative_binary64_21151` `sqr-pow_binary64_21192`
2×	`sum-log_binary64_21311` `unpow-prod-down_binary64_21299` `unswap-sqr_binary64_21188`
1×	`associate-+l-_binary64_21155` `pow-to-exp_binary64_21289` `sub-neg_binary64_21213` `flip3-+_binary64_21223` `diff-log_binary64_21312` `flip-+_binary64_21194` `+-commutative_binary64_21150`

Counts

4 → 80

Calls

4 calls:

39.0ms	(+.f64 (-.f64 (.f64 x 2) (pow.f64 (.f64 (pow.f64 (.f64 (.f64 y 9) z) 1) t) 1)) (.f64 (.f64 a 27) b))
28.0ms	(.f64 (pow.f64 (.f64 (*.f64 y 9) z) 1) t)
26.0ms	(.f64 (.f64 y 9) z)
24.0ms	(.f64 (.f64 a 27) b)

series898.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

609.0ms	(+.f64 (-.f64 (.f64 x 2) (pow.f64 (.f64 (pow.f64 (.f64 (.f64 y 9) z) 1) t) 1)) (.f64 (.f64 a 27) b))
137.0ms	(.f64 (pow.f64 (.f64 (*.f64 y 9) z) 1) t)
79.0ms	(.f64 (.f64 a 27) b)
73.0ms	(.f64 (.f64 y 9) z)

simplify258.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (198.0ms)

Iter	Nodes	Cost
0	5133	1326

prune3.1s (2.1%)

Pruning

59 alts after pruning (59 fresh and 0 done)

	Pruned	Kept	Total
New	72	20	92
Fresh	3	39	42
Picked	1	0	1
Done	0	0	0
Total	76	59	135

Merged error: 0.3b

Counts

135 → 59

Compiler

Compiled 3781 to 2924 computations (22.7% saved)

localize73.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (pow.f64 (.f64 (pow.f64 (pow.f64 (.f64 (.f64 y 9) z) 1) 1) t) 1)) (.f64 (.f64 a 27) b))
0.5b	(.f64 (.f64 y 9) z)
0.5b	(.f64 (.f64 a 27) b)
6.1b	(.f64 (pow.f64 (pow.f64 (.f64 (*.f64 y 9) z) 1) 1) t)

rewrite169.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-exp-log_binary64_21258`
16×	`add-cbrt-cube_binary64_21256` `prod-exp_binary64_21269` `add-sqr-sqrt_binary64_21242`
15×	`pow1_binary64_21281`
11×	`associate-l_binary64_21161`
10×	`add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220`
9×	`associate-r_binary64_21160` `add-log-exp_binary64_21259` `unpow-prod-down_binary64_21299`
8×	`pow-exp_binary64_21288`
7×	`pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253`
6×	`associate-+l+_binary64_21153`
5×	`cancel-sign-sub-inv_binary64_21186` `sqr-pow_binary64_21192`
4×	`unswap-sqr_binary64_21188`
3×	`*-commutative_binary64_21151`
2×	`pow-to-exp_binary64_21289` `sum-log_binary64_21311`
1×	`associate-+l-_binary64_21155` `sub-neg_binary64_21213` `flip3-+_binary64_21223` `diff-log_binary64_21312` `flip-+_binary64_21194` `+-commutative_binary64_21150`

Counts

4 → 88

Calls

4 calls:

48.0ms	(+.f64 (-.f64 (.f64 x 2) (pow.f64 (.f64 (pow.f64 (pow.f64 (.f64 (.f64 y 9) z) 1) 1) t) 1)) (.f64 (.f64 a 27) b))
38.0ms	(.f64 (pow.f64 (pow.f64 (.f64 (*.f64 y 9) z) 1) 1) t)
24.0ms	(.f64 (.f64 a 27) b)
21.0ms	(.f64 (.f64 y 9) z)

series993.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

682.0ms	(+.f64 (-.f64 (.f64 x 2) (pow.f64 (.f64 (pow.f64 (pow.f64 (.f64 (.f64 y 9) z) 1) 1) t) 1)) (.f64 (.f64 a 27) b))
166.0ms	(.f64 (pow.f64 (pow.f64 (.f64 (*.f64 y 9) z) 1) 1) t)
78.0ms	(.f64 (.f64 y 9) z)
66.0ms	(.f64 (.f64 a 27) b)

simplify253.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (184.0ms)

Iter	Nodes	Cost
0	5006	1444

prune4.4s (2.9%)

Pruning

74 alts after pruning (74 fresh and 0 done)

	Pruned	Kept	Total
New	82	18	100
Fresh	2	56	58
Picked	1	0	1
Done	0	0	0
Total	85	74	159

Merged error: 0.3b

Counts

159 → 74

Compiler

Compiled 2521 to 1772 computations (29.7% saved)

regimes33.2s (22.1%)

Compiler: Compiled 58988 to 55340 computations (6.2% saved)

bsearch1.2min (49.8%)

Compiler: Compiled 5 to 9 computations (-80% saved)

simplify36.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	127	76
1	127	76

end0.0ms (0%)

sample17.2s (11.4%)

Algorithm

1×

intervals

Results

1.9s	8000×	body	128	valid
729.0ms	3064×	body	128	invalid

Compiler

Compiled 4074 to 3809 computations (6.5% saved)

Pareto

0.15311004784688995

Details

analyze7.0s (4.6%)

sample310.0ms (0.2%)

simplify516.0ms (0.3%)

prune6.0ms (0%)

localize31.0ms (0%)

rewrite197.0ms (0.1%)

series550.0ms (0.4%)

simplify339.0ms (0.2%)

prune2.1s (1.4%)

localize84.0ms (0.1%)

rewrite90.0ms (0.1%)

series612.0ms (0.4%)

simplify208.0ms (0.1%)

prune2.5s (1.7%)

localize102.0ms (0.1%)

rewrite150.0ms (0.1%)

series898.0ms (0.6%)

simplify258.0ms (0.2%)

prune3.1s (2.1%)

localize73.0ms (0%)

rewrite169.0ms (0.1%)

series993.0ms (0.7%)

simplify253.0ms (0.2%)

prune4.4s (2.9%)

regimes33.2s (22.1%)

bsearch1.2min (49.8%)

simplify36.0ms (0%)

end0.0ms (0%)

sample17.2s (11.4%)

Profiling