Details

analyze580.0ms (15.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
18.7%	81.1%	0.2%	9
21.8%	78%	0.2%	10
25%	74.9%	0.2%	11
34.7%	64.9%	0.4%	12
47.2%	51.9%	0.9%	13
49%	49.2%	1.8%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	53×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify158.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	10
1	68	10

prune2.0ms (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: 11.7b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

11.4b

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
4×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `cbrt-undiv_binary64_1817` `div-exp_binary64_1834`
1×	`add-sqr-sqrt_binary64_1805` `associate-/l_binary64_1728` `add-cube-cbrt_binary64_1818` `div-inv_binary64_1780` `associate-/r_binary64_1727` `*-un-lft-identity_binary64_1783` `times-frac_binary64_1789` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `add-log-exp_binary64_1822` `pow1_binary64_1844`

Counts

1 → 21

Calls

1 calls:

6.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series61.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

61.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

simplify71.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4972	280
1	4972	280

prune22.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	5	25

Merged error: 0.0b

Counts

25 → 5

Compiler

Compiled 264 to 81 computations (69.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.4b	(*.f64 a2 (/.f64 a1 b1))
5.8b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_1805`
16×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
13×	`times-frac_binary64_1789` `associate-r_binary64_1723`
12×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
5×	`cbrt-undiv_binary64_1817` `div-exp_binary64_1834`
4×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow1_binary64_1844`
3×	`associate-/r_binary64_1727` `associate-l*_binary64_1724`
2×	`associate-*r/_binary64_1725` `div-inv_binary64_1780` `unswap-sqr_binary64_1751` `add-log-exp_binary64_1822`
1×	`associate-/l/_binary64_1730` `associate-/l_binary64_1728` `-commutative_binary64_1714` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `pow-prod-down_binary64_1854`

Counts

2 → 56

Calls

2 calls:

9.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
8.0ms	(*.f64 a2 (/.f64 a1 b1))

series97.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

61.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
35.0ms	(*.f64 a2 (/.f64 a1 b1))

simplify70.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5069	668

prune48.0ms (1.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	58	9	67

Merged error: 0.0b

Counts

67 → 9

Compiler

Compiled 755 to 229 computations (69.7% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a1)
0.6b	(cbrt.f64 a1)
2.6b	(.f64 (.f64 a2 (*.f64 (cbrt.f64 a1) (cbrt.f64 a1))) (/.f64 (cbrt.f64 a1) b1))
5.8b	(/.f64 (.f64 (.f64 a2 (*.f64 (cbrt.f64 a1) (cbrt.f64 a1))) (/.f64 (cbrt.f64 a1) b1)) b2)

rewrite47.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-exp-log_binary64_1821`
40×	`add-cbrt-cube_binary64_1819`
24×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832`
22×	`associate-r_binary64_1723`
21×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `times-frac_binary64_1789`
15×	`cbrt-prod_binary64_1814`
13×	`cbrt-undiv_binary64_1817` `div-exp_binary64_1834` `pow1_binary64_1844`
6×	`pow-prod-down_binary64_1854`
4×	`add-log-exp_binary64_1822`
3×	`associate-/r*_binary64_1727`
2×	`associate-*r/_binary64_1725` `div-inv_binary64_1780` `pow1/3_binary64_1865`
1×	`associate-/l/_binary64_1730` `associate-/l_binary64_1728` `associate-l_binary64_1724` `-commutative_binary64_1714` `frac-2neg_binary64_1794` `clear-num_binary64_1782`

Counts

4 → 101

Calls

4 calls:

16.0ms	(.f64 (.f64 a2 (*.f64 (cbrt.f64 a1) (cbrt.f64 a1))) (/.f64 (cbrt.f64 a1) b1))
15.0ms	(/.f64 (.f64 (.f64 a2 (*.f64 (cbrt.f64 a1) (cbrt.f64 a1))) (/.f64 (cbrt.f64 a1) b1)) b2)
4.0ms	(cbrt.f64 a1)
1.0ms	(cbrt.f64 a1)

series512.0ms (13.7%)

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt.f64 a1)
152.0ms	(cbrt.f64 a1)
121.0ms	(/.f64 (.f64 (.f64 a2 (*.f64 (cbrt.f64 a1) (cbrt.f64 a1))) (/.f64 (cbrt.f64 a1) b1)) b2)
68.0ms	(.f64 (.f64 a2 (*.f64 (cbrt.f64 a1) (cbrt.f64 a1))) (/.f64 (cbrt.f64 a1) b1))

simplify59.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5164	1249

prune78.0ms (2.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	114	8	122

Merged error: 0.0b

Counts

122 → 8

Compiler

Compiled 1653 to 514 computations (68.9% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.7b	(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_1805`
22×	`times-frac_binary64_1789`
15×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
13×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `associate-l_binary64_1724` `associate-r_binary64_1723`
4×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `cbrt-undiv_binary64_1817` `div-exp_binary64_1834` `unswap-sqr_binary64_1751`
3×	`pow1_binary64_1844`
2×	`div-inv_binary64_1780`
1×	`associate-r/_binary64_1725` `associate-l/_binary64_1726` `*-commutative_binary64_1714` `frac-times_binary64_1793` `pow-prod-down_binary64_1854` `add-log-exp_binary64_1822`

Counts

1 → 50

Calls

1 calls:

14.0ms

(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

series64.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

64.0ms

(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

simplify95.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5001	713

prune35.0ms (0.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	53	8	61

Merged error: 0.0b

Counts

61 → 8

Compiler

Compiled 671 to 152 computations (77.3% saved)

regimes659.0ms (17.7%)

Compiler: Compiled 2466 to 2000 computations (18.9% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	122
1	36	122

end0.0ms (0%)

sample962.0ms (25.8%)

Algorithm

1×

intervals

Results

234.0ms	8000×	body	128	valid
53.0ms	1833×	body	128	invalid

Compiler

Compiled 405 to 294 computations (27.4% saved)

Details

analyze580.0ms (15.6%)

sample19.0ms (0.5%)

simplify158.0ms (4.2%)

prune2.0ms (0.1%)

localize9.0ms (0.3%)

rewrite8.0ms (0.2%)

series61.0ms (1.6%)

simplify71.0ms (1.9%)

prune22.0ms (0.6%)

localize6.0ms (0.1%)

rewrite21.0ms (0.6%)

series97.0ms (2.6%)

simplify70.0ms (1.9%)

prune48.0ms (1.3%)

localize10.0ms (0.3%)

rewrite47.0ms (1.3%)

series512.0ms (13.7%)

simplify59.0ms (1.6%)

prune78.0ms (2.1%)

localize6.0ms (0.2%)

rewrite19.0ms (0.5%)

series64.0ms (1.7%)

simplify95.0ms (2.6%)

prune35.0ms (0.9%)

regimes659.0ms (17.7%)

bsearch3.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample962.0ms (25.8%)

Profiling