Details

analyze587.0ms (8.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5270	72
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%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample24.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	11×	body	128	invalid
0.0ms	2×	body	128	nan

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify352.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (346.0ms)

Iter	Nodes	Cost
0	4889	18
1	4889	18

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

0.1b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite103.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`*-un-lft-identity_binary64_6898`
9×	`pow1_binary64_6959` `add-sqr-sqrt_binary64_6920`
8×	`add-log-exp_binary64_6937` `distribute-lft-out_binary64_6849`
7×	`add-cube-cbrt_binary64_6933` `associate-r_binary64_6838`
5×	`add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934` `associate-+r+_binary64_6830`
4×	`log-pow_binary64_6987` `distribute-lft-out--_binary64_6850` `associate-+l+_binary64_6831`
3×	`flip3-+_binary64_6901` `flip-+_binary64_6872` `associate-l_binary64_6839` `sum-log_binary64_6989` `cancel-sign-sub-inv_binary64_6864` `log-prod_binary64_6984`
2×	`distribute-rgt-in_binary64_6848` `distribute-lft-in_binary64_6847` `associate-*r/_binary64_6840` `+-commutative_binary64_6828`
1×	`pow-prod-down_binary64_6969` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931` `unswap-sqr_binary64_6866` `*-commutative_binary64_6829` `diff-log_binary64_6990` `associate-+l-_binary64_6833` `sub-neg_binary64_6891`

Counts

3 → 63

Calls

3 calls:

14.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
8.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
6.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

Compiler

Compiled 1231 to 755 computations (38.7% saved)

series519.0ms (7.3%)

Error

0.1b

Counts

3 → 30

Calls

3 calls:

300.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
140.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
53.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

Compiler

Compiled 903 to 665 computations (26.4% saved)

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5370	1270

prune94.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	85	8	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	8	94

Error

0.0b

Counts

94 → 8

Compiler

Compiled 1586 to 970 computations (38.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x 1/2) (+.f64 (-.f64 y (.f64 z y)) (*.f64 (log.f64 z) y)))
0.0b	(-.f64 y (*.f64 z y))
0.1b	(+.f64 (-.f64 y (.f64 z y)) (.f64 (log.f64 z) y))
0.3b	(*.f64 (log.f64 z) y)

rewrite83.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-log-exp_binary64_6937`
8×	`add-sqr-sqrt_binary64_6920`
7×	`pow1_binary64_6959` `*-un-lft-identity_binary64_6898` `sum-log_binary64_6989`
6×	`add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934` `add-cube-cbrt_binary64_6933`
4×	`associate-l_binary64_6839`
3×	`associate-r_binary64_6838` `diff-log_binary64_6990`
2×	`flip3-+_binary64_6901` `flip-+_binary64_6872` `associate-+l-_binary64_6833` `sub-neg_binary64_6891` `associate-+l+_binary64_6831` `cancel-sign-sub-inv_binary64_6864` `+-commutative_binary64_6828`
1×	`pow-prod-down_binary64_6969` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931` `unswap-sqr_binary64_6866` `log-pow_binary64_6987` `*-commutative_binary64_6829` `flip3--_binary64_6902` `flip--_binary64_6873` `distribute-rgt-out--_binary64_6852` `associate-+r-_binary64_6832` `associate-+r+_binary64_6830`

Counts

4 → 62

Calls

4 calls:

8.0ms	(+.f64 (.f64 x 1/2) (+.f64 (-.f64 y (.f64 z y)) (*.f64 (log.f64 z) y)))
6.0ms	(+.f64 (-.f64 y (.f64 z y)) (.f64 (log.f64 z) y))
4.0ms	(*.f64 (log.f64 z) y)
3.0ms	(-.f64 y (*.f64 z y))

Compiler

Compiled 1363 to 422 computations (69% saved)

series674.0ms (9.5%)

Error

0.0b

Counts

4 → 40

Calls

4 calls:

295.0ms	(+.f64 (.f64 x 1/2) (+.f64 (-.f64 y (.f64 z y)) (*.f64 (log.f64 z) y)))
153.0ms	(+.f64 (-.f64 y (.f64 z y)) (.f64 (log.f64 z) y))
141.0ms	(*.f64 (log.f64 z) y)
61.0ms	(-.f64 y (*.f64 z y))

Compiler

Compiled 1371 to 948 computations (30.9% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5902	1315

prune96.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	102	8	110

Error

0.0b

Counts

110 → 8

Compiler

Compiled 1811 to 831 computations (54.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
0.2b	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite122.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`*-un-lft-identity_binary64_6898`
12×	`add-sqr-sqrt_binary64_6920`
10×	`add-log-exp_binary64_6937` `add-cube-cbrt_binary64_6933`
9×	`cbrt-prod_binary64_6929`
8×	`pow1_binary64_6959`
6×	`add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934` `log-prod_binary64_6984` `associate-+r+_binary64_6830`
5×	`sum-log_binary64_6989` `associate-r_binary64_6838`
4×	`distribute-lft-out_binary64_6849`
3×	`associate-l_binary64_6839`
2×	`pow1/3_binary64_6980` `flip3-+_binary64_6901` `flip-+_binary64_6872` `log-pow_binary64_6987` `associate-+l-_binary64_6833` `associate-*r/_binary64_6840`
1×	`diff-log_binary64_6990` `associate-+l+_binary64_6831` `+-commutative_binary64_6828` `pow-prod-down_binary64_6969` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931` `unswap-sqr_binary64_6866` `distribute-rgt-in_binary64_6848` `distribute-lft-in_binary64_6847` `*-commutative_binary64_6829`

Counts

4 → 69

Calls

4 calls:

16.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
11.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
2.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1905 to 1024 computations (46.2% saved)

series567.0ms (8%)

Error

0.0b

Counts

4 → 19

Calls

4 calls:

286.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
115.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
74.0ms	(cbrt.f64 z)
71.0ms	(cbrt.f64 z)

Compiler

Compiled 922 to 782 computations (15.2% saved)

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5010	1012

prune97.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	89	7	96

Error

0.0b

Counts

96 → 7

Compiler

Compiled 1918 to 1129 computations (41.1% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (pow.f64 z 1/3))))
0.2b	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (pow.f64 z 1/3)))
0.6b	(cbrt.f64 z)
5.0b	(pow.f64 z 1/3)

rewrite146.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`*-un-lft-identity_binary64_6898`
13×	`add-sqr-sqrt_binary64_6920`
11×	`add-cube-cbrt_binary64_6933`
10×	`add-log-exp_binary64_6937`
7×	`pow1_binary64_6959` `add-exp-log_binary64_6936` `log-prod_binary64_6984` `associate-+r+_binary64_6830`
6×	`unpow-prod-down_binary64_6977` `add-cbrt-cube_binary64_6934`
5×	`sum-log_binary64_6989`
4×	`associate-r_binary64_6838`
3×	`pow-unpow_binary64_6975` `cbrt-prod_binary64_6929` `associate-l_binary64_6839`
2×	`sqr-pow_binary64_6870` `flip3-+_binary64_6901` `flip-+_binary64_6872` `distribute-lft-out_binary64_6849` `associate-+l-_binary64_6833` `associate-*r/_binary64_6840`
1×	`pow-pow_binary64_6970` `pow-to-exp_binary64_6967` `pow-exp_binary64_6966` `unpow1/3_binary64_6965` `pow1/3_binary64_6980` `diff-log_binary64_6990` `associate-+l+_binary64_6831` `+-commutative_binary64_6828` `pow-prod-down_binary64_6969` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931` `unswap-sqr_binary64_6866` `distribute-rgt-in_binary64_6848` `distribute-lft-in_binary64_6847` `*-commutative_binary64_6829`

Counts

4 → 75

Calls

4 calls:

12.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (pow.f64 z 1/3))))
12.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (pow.f64 z 1/3)))
2.0ms	(pow.f64 z 1/3)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 2164 to 1455 computations (32.8% saved)

series585.0ms (8.2%)

Error

0.0b

Counts

4 → 19

Calls

4 calls:

283.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (pow.f64 z 1/3))))
119.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (pow.f64 z 1/3)))
83.0ms	(pow.f64 z 1/3)
80.0ms	(cbrt.f64 z)

Compiler

Compiled 963 to 826 computations (14.2% saved)

simplify104.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4876	986
1	4876	986

prune99.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	94	7	101

Error

0.0b

Counts

101 → 7

Compiler

Compiled 1894 to 1187 computations (37.3% saved)

regimes818.0ms (11.5%)

Accuracy

Total 0.1b remaining (97.9%)

Threshold costs 0.1b (97.9%)

Compiler

Compiled 8381 to 6569 computations (21.6% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	166	18
1	166	18

end0.0ms (0%)

sample1.8s (25%)

Algorithm

1×

intervals

Results

397.0ms	8000×	body	128	valid
18.0ms	294×	body	128	invalid
3.0ms	85×	body	128	nan

Compiler

Compiled 1179 to 925 computations (21.5% saved)

Details

analyze587.0ms (8.2%)

sample24.0ms (0.3%)

simplify352.0ms (4.9%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite103.0ms (1.4%)

series519.0ms (7.3%)

simplify71.0ms (1%)

prune94.0ms (1.3%)

localize11.0ms (0.1%)

rewrite83.0ms (1.2%)

series674.0ms (9.5%)

simplify78.0ms (1.1%)

prune96.0ms (1.3%)

localize13.0ms (0.2%)

rewrite122.0ms (1.7%)

series567.0ms (8%)

simplify60.0ms (0.8%)

prune97.0ms (1.4%)

localize19.0ms (0.3%)

rewrite146.0ms (2.1%)

series585.0ms (8.2%)

simplify104.0ms (1.5%)

prune99.0ms (1.4%)

regimes818.0ms (11.5%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample1.8s (25%)

Profiling