Details

analyze338.0ms (4.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5012	92
0	2	2
1	2	2

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%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 32 to 22 computations (31.3% saved)

sample29.0ms (0.3%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5029	46

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.2b

Counts

2 → 1

Compiler

Compiled 62 to 42 computations (32.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.7b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite225.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64_1844` `add-exp-log_binary64_1821`
14×	`add-cbrt-cube_binary64_1819`
10×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
8×	`add-cube-cbrt_binary64_1818`
7×	`associate-r_binary64_1723`
6×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `add-log-exp_binary64_1822` `cbrt-unprod_binary64_1816`
4×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-*r/_binary64_1725`
3×	`unpow-prod-down_binary64_1862` `pow-unpow_binary64_1860`
2×	`unswap-sqr_binary64_1751` `sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749` `associate-l_binary64_1724` `*-commutative_binary64_1714` `flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-+r+_binary64_1715`
1×	`flip3--_binary64_1787` `flip--_binary64_1758` `pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `unpow2_binary64_1848` `sqr-pow_binary64_1755` `distribute-lft-out_binary64_1734` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

4 → 80

Calls

4 calls:

8.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3307 to 1781 computations (46.1% saved)

series1.1s (13.5%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

539.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
287.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
129.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
67.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3549 to 2674 computations (24.7% saved)

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5340	2516

prune261.0ms (3.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	127	3	130
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	127	4	131

Error

Counts

131 → 4

Compiler

Compiled 4437 to 2430 computations (45.2% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (.f64 4 (+.f64 1 a)))) (pow.f64 a 4))) (.f64 (.f64 b b) (-.f64 4 (.f64 a 12))))
0.0b	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
0.7b	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
0.8b	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a))))

rewrite299.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-log-exp_binary64_1822`
14×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
8×	`add-sqr-sqrt_binary64_1805` `associate-*r/_binary64_1725`
7×	`sum-log_binary64_1874`
6×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `add-cube-cbrt_binary64_1818` `cbrt-unprod_binary64_1816` `-un-lft-identity_binary64_1783` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-r*_binary64_1723`
5×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
4×	`sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749` `frac-add_binary64_1791` `associate-+r+_binary64_1715`
3×	`flip3--_binary64_1787` `flip--_binary64_1758` `associate-+l+_binary64_1716`
2×	`unswap-sqr_binary64_1751` `associate-l_binary64_1724` `*-commutative_binary64_1714` `+-commutative_binary64_1713`

Counts

4 → 83

Calls

4 calls:

23.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (.f64 4 (+.f64 1 a)))) (pow.f64 a 4))) (.f64 (.f64 b b) (-.f64 4 (.f64 a 12))))
13.0ms	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
11.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a))))
7.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))

Compiler

Compiled 4584 to 2940 computations (35.9% saved)

series1.5s (18.4%)

Error

Counts

4 → 53

Calls

4 calls:

551.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (.f64 4 (+.f64 1 a)))) (pow.f64 a 4))) (.f64 (.f64 b b) (-.f64 4 (.f64 a 12))))
473.0ms	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
271.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a))))
150.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))

Compiler

Compiled 4070 to 3265 computations (19.8% saved)

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4995	4398
1	4995	4398

prune325.0ms (3.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	136	4	140

Error

Counts

140 → 4

Compiler

Compiled 5586 to 3649 computations (34.7% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4)) (pow.f64 a 4))
0.0b	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4)) (pow.f64 a 4))) (.f64 (.f64 b b) (-.f64 4 (*.f64 a 12))))
0.7b	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
0.7b	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))

rewrite465.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-log-exp_binary64_1822`
14×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
8×	`add-sqr-sqrt_binary64_1805` `associate-*r/_binary64_1725`
7×	`sum-log_binary64_1874`
6×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `add-cube-cbrt_binary64_1818` `cbrt-unprod_binary64_1816` `-un-lft-identity_binary64_1783` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-r*_binary64_1723`
5×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
4×	`sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749` `frac-add_binary64_1791` `associate-+r+_binary64_1715`
3×	`flip3--_binary64_1787` `flip--_binary64_1758` `associate-+l+_binary64_1716`
2×	`unswap-sqr_binary64_1751` `associate-l_binary64_1724` `*-commutative_binary64_1714` `+-commutative_binary64_1713`

Counts

4 → 83

Calls

4 calls:

22.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4)) (pow.f64 a 4))) (.f64 (.f64 b b) (-.f64 4 (*.f64 a 12))))
14.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
13.0ms	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4)) (pow.f64 a 4))
8.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))

Compiler

Compiled 4028 to 2523 computations (37.4% saved)

series1.2s (14.9%)

Error

Counts

4 → 47

Calls

4 calls:

497.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4)) (pow.f64 a 4))) (.f64 (.f64 b b) (-.f64 4 (*.f64 a 12))))
344.0ms	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4)) (pow.f64 a 4))
197.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
131.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))

Compiler

Compiled 3360 to 2695 computations (19.8% saved)

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4947	3660
1	4947	3660

prune245.0ms (2.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	130	4	134

Error

Counts

134 → 4

Compiler

Compiled 4757 to 2974 computations (37.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a 4)) 1)
0.1b	(*.f64 (pow.f64 a 3) (+.f64 a 4))

rewrite79.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_1805`
12×	`associate-l_binary64_1724`
9×	`*-un-lft-identity_binary64_1783`
7×	`add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818`
4×	`add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819` `unpow-prod-down_binary64_1862` `unswap-sqr_binary64_1751` `cube-prod_binary64_1811` `associate-r_binary64_1723`
3×	`prod-exp_binary64_1832` `cancel-sign-sub-inv_binary64_1749`
2×	`pow1_binary64_1844` `sqr-pow_binary64_1755` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-*r/_binary64_1725` `associate--l+_binary64_1720`
1×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `cbrt-unprod_binary64_1816` `flip3-+_binary64_1786` `flip-+_binary64_1757` `unpow3_binary64_1849` `cube-mult_binary64_1813` `distribute-lft-out_binary64_1734` `*-commutative_binary64_1714` `diff-log_binary64_1875` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758`

Counts

2 → 52

Calls

2 calls:

8.0ms	(*.f64 (pow.f64 a 3) (+.f64 a 4))
7.0ms	(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a 4)) 1)

Compiler

Compiled 866 to 679 computations (21.6% saved)

series259.0ms (3.1%)

Error

Counts

2 → 15

Calls

2 calls:

165.0ms	(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a 4)) 1)
84.0ms	(*.f64 (pow.f64 a 3) (+.f64 a 4))

Compiler

Compiled 296 to 284 computations (4.1% saved)

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4963	804
1	4963	804

prune67.0ms (0.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	67	4	71

Error

Counts

71 → 4

Compiler

Compiled 845 to 663 computations (21.5% saved)

regimes541.0ms (6.5%)

Accuracy

Total 0.0b remaining (39.4%)

Threshold costs 0.0b (39.4%)

Compiler

Compiled 7504 to 5078 computations (32.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	52
1	56	52

end2.0ms (0%)

Compiler: Compiled 35 to 26 computations (25.7% saved)

sample874.0ms (10.5%)

Algorithm

1×

intervals

Results

507.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 173 to 129 computations (25.4% saved)

Details

analyze338.0ms (4.1%)

sample29.0ms (0.3%)

simplify60.0ms (0.7%)

prune5.0ms (0.1%)

localize20.0ms (0.2%)

rewrite225.0ms (2.7%)

series1.1s (13.5%)

simplify48.0ms (0.6%)

prune261.0ms (3.1%)

localize21.0ms (0.2%)

rewrite299.0ms (3.6%)

series1.5s (18.4%)

simplify87.0ms (1%)

prune325.0ms (3.9%)

localize19.0ms (0.2%)

rewrite465.0ms (5.6%)

series1.2s (14.9%)

simplify82.0ms (1%)

prune245.0ms (2.9%)

localize6.0ms (0.1%)

rewrite79.0ms (1%)

series259.0ms (3.1%)

simplify61.0ms (0.7%)

prune67.0ms (0.8%)

regimes541.0ms (6.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end2.0ms (0%)

sample874.0ms (10.5%)

Profiling