Details

analyze627.0ms (10.9%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	70
1	133	70
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	13
0%	0%	100%	14
0%	0%	100%	14

Symmetry

(sort b c d)

Compiler

Compiled 48 to 40 computations (16.7% saved)

sample204.0ms (3.5%)

Algorithm

2×

intervals

Results

21.0ms	512×	pre	128	true
13.0ms	512×	body	128	valid
0.0ms	4×	pre	128	false

Compiler

Compiled 6247 to 6247 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune2.0ms (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 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b	(*.f64 a (+.f64 (+.f64 b c) d))

rewrite35.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`*-un-lft-identity_binary64_1783`
5×	`add-sqr-sqrt_binary64_1805` `associate-r_binary64_1723`
3×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818` `associate-l_binary64_1724` `distribute-lft-out_binary64_1734`
2×	`associate-*r/_binary64_1725`
1×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `add-log-exp_binary64_1822` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `flip3-+_binary64_1786` `flip-+_binary64_1757` `*-commutative_binary64_1714`

Counts

1 → 24

Calls

1 calls:

9.0ms

(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 336 to 85 computations (74.7% saved)

series216.0ms (3.7%)

Error

0.0b

Counts

1 → 21

Calls

1 calls:

204.0ms

(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 426 to 269 computations (36.9% saved)

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5029	456

prune35.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Error

0.0b

Counts

46 → 4

Compiler

Compiled 473 to 110 computations (76.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
0.1b	(*.f64 a (+.f64 b c))

rewrite44.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
4×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818` `associate-r_binary64_1723`
3×	`associate-l_binary64_1724`
2×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `flip3-+_binary64_1786` `associate-*r/_binary64_1725` `flip-+_binary64_1757` `distribute-lft-out_binary64_1734` `associate-+l+_binary64_1716`
1×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `*-commutative_binary64_1714` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

2 → 37

Calls

2 calls:

7.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
6.0ms	(*.f64 a (+.f64 b c))

Compiler

Compiled 590 to 145 computations (75.4% saved)

series403.0ms (7%)

Error

0.0b

Counts

2 → 36

Calls

2 calls:

267.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
118.0ms	(*.f64 a (+.f64 b c))

Compiler

Compiled 801 to 473 computations (40.9% saved)

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4951	681
1	4951	681

prune44.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	73	4	77

Error

0.0b

Counts

77 → 4

Compiler

Compiled 800 to 160 computations (80% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 a (-.f64 (+.f64 b c) d))
0.3b	(.f64 (+.f64 (+.f64 b c) d) (.f64 (*.f64 a a) (-.f64 (+.f64 b c) d)))
0.3b	(.f64 (.f64 a a) (-.f64 (+.f64 b c) d))
7.8b	(/.f64 (.f64 (+.f64 (+.f64 b c) d) (.f64 (.f64 a a) (-.f64 (+.f64 b c) d))) (.f64 a (-.f64 (+.f64 b c) d)))

rewrite250.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

52×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
31×	`*-un-lft-identity_binary64_1783`
30×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
26×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
24×	`cancel-sign-sub-inv_binary64_1749`
23×	`add-sqr-sqrt_binary64_1805`
22×	`associate-*r/_binary64_1725`
20×	`pow1_binary64_1844`
16×	`add-cube-cbrt_binary64_1818`
13×	`associate-r_binary64_1723`
10×	`pow-prod-down_binary64_1854`
9×	`flip3--_binary64_1787` `flip--_binary64_1758` `associate-l_binary64_1724`
8×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-times_binary64_1793` `associate-/l/_binary64_1730` `sub-neg_binary64_1776` `associate--l+_binary64_1720`
6×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
5×	`distribute-lft-out_binary64_1734`
4×	`add-log-exp_binary64_1822` `associate-*l/_binary64_1726` `distribute-lft-out--_binary64_1735`
3×	`*-commutative_binary64_1714`
2×	`associate-/r/_binary64_1729` `unswap-sqr_binary64_1751` `difference-of-squares_binary64_1752`
1×	`frac-2neg_binary64_1794` `times-frac_binary64_1789` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/l_binary64_1728` `associate-/r_binary64_1727`

Counts

4 → 157

Calls

4 calls:

28.0ms	(/.f64 (.f64 (+.f64 (+.f64 b c) d) (.f64 (.f64 a a) (-.f64 (+.f64 b c) d))) (.f64 a (-.f64 (+.f64 b c) d)))
19.0ms	(.f64 (+.f64 (+.f64 b c) d) (.f64 (*.f64 a a) (-.f64 (+.f64 b c) d)))
12.0ms	(.f64 (.f64 a a) (-.f64 (+.f64 b c) d))
10.0ms	(*.f64 a (-.f64 (+.f64 b c) d))

Compiler

Compiled 5633 to 668 computations (88.1% saved)

series1.1s (19%)

Error

Counts

4 → 76

Calls

4 calls:

316.0ms	(.f64 (+.f64 (+.f64 b c) d) (.f64 (*.f64 a a) (-.f64 (+.f64 b c) d)))
290.0ms	(.f64 (.f64 a a) (-.f64 (+.f64 b c) d))
221.0ms	(*.f64 a (-.f64 (+.f64 b c) d))
205.0ms	(/.f64 (.f64 (+.f64 (+.f64 b c) d) (.f64 (.f64 a a) (-.f64 (+.f64 b c) d))) (.f64 a (-.f64 (+.f64 b c) d)))

Compiler

Compiled 4054 to 2145 computations (47.1% saved)

simplify99.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4975	4211
1	4975	4211

prune213.0ms (3.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	231	2	233
Fresh	1	0	1
Picked	0	1	1
Done	1	1	2
Total	233	4	237

Error

Counts

237 → 4

Compiler

Compiled 5749 to 755 computations (86.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 a (*.f64 a a))
0.3b	(/.f64 (+.f64 (+.f64 b c) d) (/.f64 a (*.f64 a a)))

rewrite98.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

64×	`*-un-lft-identity_binary64_1783`
56×	`times-frac_binary64_1789`
24×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `distribute-lft-out_binary64_1734`
16×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
11×	`pow1_binary64_1844`
8×	`div-inv_binary64_1780` `associate-/l_binary64_1728` `associate-/r_binary64_1727`
7×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
4×	`pow-div_binary64_1858`
2×	`prod-exp_binary64_1832` `add-log-exp_binary64_1822` `cbrt-unprod_binary64_1816` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/l/_binary64_1730`
1×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-/r/_binary64_1729` `pow2_binary64_1864` `pow-prod-up_binary64_1853` `pow-plus_binary64_1846` `pow-sqr_binary64_1756`

Counts

2 → 91

Calls

2 calls:

13.0ms	(/.f64 (+.f64 (+.f64 b c) d) (/.f64 a (*.f64 a a)))
4.0ms	(/.f64 a (*.f64 a a))

Compiler

Compiled 1789 to 338 computations (81.1% saved)

series235.0ms (4.1%)

Error

Counts

2 → 24

Calls

2 calls:

204.0ms	(/.f64 (+.f64 (+.f64 b c) d) (/.f64 a (*.f64 a a)))
18.0ms	(/.f64 a (*.f64 a a))

Compiler

Compiled 507 to 333 computations (34.3% saved)

simplify73.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4923	1668
1	4923	1668

prune82.0ms (1.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	115	4	119

Error

Counts

119 → 4

Compiler

Compiled 1516 to 399 computations (73.7% saved)

regimes479.0ms (8.3%)

Accuracy

Total 0.0b remaining (99%)

Threshold costs 0.0b (99%)

Compiler

Compiled 5011 to 3237 computations (35.4% saved)

bsearch0.0ms (0%)

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

Remove

(sort b c d)

Compiler

Compiled 18 to 16 computations (11.1% saved)

end0.0ms (0%)

sample1.4s (23.4%)

Algorithm

1×

intervals

Results

306.0ms	8000×	pre	128	true
187.0ms	8000×	body	128	valid

Compiler

Compiled 720 to 472 computations (34.4% saved)

Details

analyze627.0ms (10.9%)

sample204.0ms (3.5%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite35.0ms (0.6%)

series216.0ms (3.7%)

simplify75.0ms (1.3%)

prune35.0ms (0.6%)

localize6.0ms (0.1%)

rewrite44.0ms (0.8%)

series403.0ms (7%)

simplify54.0ms (0.9%)

prune44.0ms (0.8%)

localize14.0ms (0.2%)

rewrite250.0ms (4.3%)

series1.1s (19%)

simplify99.0ms (1.7%)

prune213.0ms (3.7%)

localize7.0ms (0.1%)

rewrite98.0ms (1.7%)

series235.0ms (4.1%)

simplify73.0ms (1.3%)

prune82.0ms (1.4%)

regimes479.0ms (8.3%)

bsearch0.0ms (0%)

simplify17.0ms (0.3%)

end0.0ms (0%)

sample1.4s (23.4%)

Profiling