Details

analyze181.0ms (4.3%)

Algorithm

1×

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)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid
0.0ms	1×	body	128	nan

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify202.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	682	18
1	682	18

prune6.0ms (0.1%)

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: 0.1b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize10.0ms (0.2%)

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))
0.1b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_8839`
9×	`pow1_binary64_8897`
8×	`add-log-exp_binary64_8875` `distribute-lft-out_binary64_8792` `add-sqr-sqrt_binary64_8860`
7×	`associate-r_binary64_8781`
6×	`add-cube-cbrt_binary64_8871`
5×	`add-cbrt-cube_binary64_8872` `add-exp-log_binary64_8874` `associate-+r+_binary64_8773`
4×	`log-pow_binary64_8925` `distribute-lft-out--_binary64_8793`
3×	`flip3-+_binary64_8842` `associate-l_binary64_8782` `sum-log_binary64_8927` `log-prod_binary64_8922` `flip-+_binary64_8813`
2×	`distribute-lft-in_binary64_8790` `distribute-rgt-in_binary64_8791` `+-commutative_binary64_8771` `associate-*r/_binary64_8783`
1×	`pow-prod-down_binary64_8907` `unswap-sqr_binary64_8807` `associate-+l+_binary64_8774` `prod-exp_binary64_8885` `sub-neg_binary64_8832` `cbrt-unprod_binary64_8869` `*-commutative_binary64_8772` `associate-+l-_binary64_8776` `diff-log_binary64_8928`

Counts

3 → 60

Calls

3 calls:

11.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
8.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
7.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

series322.0ms (7.7%)

Counts

3 → 9

Calls

3 calls:

115.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
110.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
97.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

simplify85.0ms (2%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4939	1039
1	4939	1039

prune78.0ms (1.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	5	70

Merged error: 0.0b

Counts

70 → 5

Compiler

Compiled 1294 to 813 computations (37.2% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.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)

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_8839`
12×	`add-sqr-sqrt_binary64_8860`
10×	`add-log-exp_binary64_8875` `add-cube-cbrt_binary64_8871`
9×	`cbrt-prod_binary64_8867`
8×	`pow1_binary64_8897`
6×	`add-cbrt-cube_binary64_8872` `add-exp-log_binary64_8874` `associate-+r+_binary64_8773` `log-prod_binary64_8922`
5×	`sum-log_binary64_8927` `associate-r_binary64_8781`
4×	`distribute-lft-out_binary64_8792`
3×	`associate-l_binary64_8782`
2×	`flip3-+_binary64_8842` `log-pow_binary64_8925` `flip-+_binary64_8813` `pow1/3_binary64_8918` `associate-+l-_binary64_8776` `associate-*r/_binary64_8783`
1×	`pow-prod-down_binary64_8907` `unswap-sqr_binary64_8807` `associate-+l+_binary64_8774` `prod-exp_binary64_8885` `distribute-lft-in_binary64_8790` `cbrt-unprod_binary64_8869` `distribute-rgt-in_binary64_8791` `*-commutative_binary64_8772` `+-commutative_binary64_8771` `diff-log_binary64_8928`

Counts

4 → 69

Calls

4 calls:

13.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
12.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series900.0ms (21.5%)

Counts

4 → 12

Calls

4 calls:

347.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
250.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
154.0ms	(cbrt.f64 z)
149.0ms	(cbrt.f64 z)

simplify73.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4910	996
1	4910	996

prune92.0ms (2.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	80	6	86

Merged error: 0b

Counts

86 → 6

Compiler

Compiled 1821 to 1015 computations (44.3% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`log-prod_binary64_8922`
11×	`add-sqr-sqrt_binary64_8860`
10×	`add-log-exp_binary64_8875`
9×	`*-un-lft-identity_binary64_8839` `add-cube-cbrt_binary64_8871`
7×	`distribute-lft-in_binary64_8790` `associate-+r+_binary64_8773` `distribute-rgt-in_binary64_8791`
6×	`pow1_binary64_8897`
5×	`add-cbrt-cube_binary64_8872` `add-exp-log_binary64_8874`
4×	`sum-log_binary64_8927` `associate-r_binary64_8781`
3×	`associate-l_binary64_8782`
2×	`associate-+l+_binary64_8774` `flip3-+_binary64_8842` `flip-+_binary64_8813` `sub-neg_binary64_8832` `+-commutative_binary64_8771`
1×	`pow-prod-down_binary64_8907` `distribute-lft-out_binary64_8792` `unswap-sqr_binary64_8807` `prod-exp_binary64_8885` `log-pow_binary64_8925` `cbrt-unprod_binary64_8869` `*-commutative_binary64_8772`

Counts

3 → 58

Calls

3 calls:

10.0ms	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
9.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
5.0ms	(*.f64 y (log.f64 z))

series271.0ms (6.5%)

Counts

3 → 9

Calls

3 calls:

117.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
95.0ms	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
60.0ms	(*.f64 y (log.f64 z))

simplify70.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4960	1018
1	4960	1018

prune64.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	67	6	73

Merged error: 0b

Counts

73 → 6

Compiler

Compiled 1339 to 757 computations (43.5% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (*.f64 (log.f64 z) 2/3) (+.f64 (-.f64 1 z) (log.f64 (cbrt.f64 (sqrt.f64 z)))))
0.3b	(*.f64 (log.f64 z) 2/3)
0.6b	(cbrt.f64 (sqrt.f64 z))
0.6b	(cbrt.f64 (sqrt.f64 z))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_8867` `add-sqr-sqrt_binary64_8860`
11×	`add-log-exp_binary64_8875`
10×	`*-un-lft-identity_binary64_8839` `add-cube-cbrt_binary64_8871`
7×	`pow1_binary64_8897`
6×	`add-cbrt-cube_binary64_8872` `sqrt-prod_binary64_8854` `add-exp-log_binary64_8874`
5×	`sum-log_binary64_8927`
4×	`associate-l_binary64_8782`
3×	`associate-r_binary64_8781`
2×	`pow1/3_binary64_8918`
1×	`pow-prod-down_binary64_8907` `unswap-sqr_binary64_8807` `associate-+r-_binary64_8775` `flip3-+_binary64_8842` `prod-exp_binary64_8885` `associate-+r+_binary64_8773` `log-pow_binary64_8925` `flip-+_binary64_8813` `cbrt-unprod_binary64_8869` `*-commutative_binary64_8772` `+-commutative_binary64_8771` `associate-+l-_binary64_8776` `diff-log_binary64_8928`

Counts

4 → 62

Calls

4 calls:

13.0ms	(+.f64 (*.f64 (log.f64 z) 2/3) (+.f64 (-.f64 1 z) (log.f64 (cbrt.f64 (sqrt.f64 z)))))
4.0ms	(*.f64 (log.f64 z) 2/3)
2.0ms	(cbrt.f64 (sqrt.f64 z))
2.0ms	(cbrt.f64 (sqrt.f64 z))

series613.0ms (14.6%)

Counts

4 → 12

Calls

4 calls:

300.0ms	(+.f64 (*.f64 (log.f64 z) 2/3) (+.f64 (-.f64 1 z) (log.f64 (cbrt.f64 (sqrt.f64 z)))))
108.0ms	(cbrt.f64 (sqrt.f64 z))
106.0ms	(cbrt.f64 (sqrt.f64 z))
100.0ms	(*.f64 (log.f64 z) 2/3)

simplify66.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4979	994
1	4979	994

prune93.0ms (2.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	74	6	80

Merged error: 0b

Counts

80 → 6

Compiler

Compiled 2126 to 1066 computations (49.9% saved)

regimes85.0ms (2%)

Compiler: Compiled 699 to 567 computations (18.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	30
1	32	30

end0.0ms (0%)

sample792.0ms (18.9%)

Algorithm

1×

intervals

Results

395.0ms	8000×	body	128	valid
15.0ms	306×	body	128	invalid
2.0ms	59×	body	128	nan

Compiler

Compiled 179 to 145 computations (19% saved)

Details

analyze181.0ms (4.3%)

sample21.0ms (0.5%)

simplify202.0ms (4.8%)

prune6.0ms (0.1%)

localize10.0ms (0.2%)

rewrite31.0ms (0.7%)

series322.0ms (7.7%)

simplify85.0ms (2%)

prune78.0ms (1.9%)

localize13.0ms (0.3%)

rewrite35.0ms (0.8%)

series900.0ms (21.5%)

simplify73.0ms (1.7%)

prune92.0ms (2.2%)

localize11.0ms (0.3%)

rewrite31.0ms (0.7%)

series271.0ms (6.5%)

simplify70.0ms (1.7%)

prune64.0ms (1.5%)

localize17.0ms (0.4%)

rewrite28.0ms (0.7%)

series613.0ms (14.6%)

simplify66.0ms (1.6%)

prune93.0ms (2.2%)

regimes85.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample792.0ms (18.9%)

Profiling