Details

analyze780.0ms (16.2%)

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
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
12.5%	85.6%	1.9%	11
19.8%	76.5%	3.7%	12
26.1%	64.4%	9.6%	13
31.7%	54.5%	13.7%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample23.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
3.0ms	96×	body	128	invalid

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify127.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

683×	`unsub-neg_binary64`
313×	`distribute-rgt-in_binary64`
306×	`sub-neg_binary64`
236×	`associate-+l+_binary64`
225×	`distribute-neg-in_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	35	13
3	97	13
4	291	13
5	549	13
6	1136	13
7	1453	13
8	1744	13
9	1655	13
10	1663	13
11	1663	13
12	1664	13
13	1634	13
14	1634	13
15	1641	13
16	1582	13

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))

Compiler

Compiled 26 to 16 computations (38.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
0.0b	(*.f64 (-.f64 y z) (-.f64 t x))

rewrite68.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `cancel-sign-sub-inv_binary64`
8×	`add-cube-cbrt_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-+r+_binary64`
6×	`flip3--_binary64` `flip--_binary64`
5×	`associate-l_binary64` `associate-r_binary64`

Counts

2 → 57

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y z) (-.f64 t x))
4.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))

Compiler

Compiled 1016 to 245 computations (75.9% saved)

series123.0ms (2.6%)

Error

0.0b

Counts

2 → 48

Calls

2 calls:

61.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
44.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

Compiler

Compiled 1459 to 821 computations (43.7% saved)

simplify106.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

370×	`exp-diff_binary64`
335×	`*-commutative_binary64`
301×	`exp-sum_binary64`
289×	`exp-prod_binary64`
237×	`unsub-neg_binary64`

Counts

105 → 82

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	1771
1	416	1657
2	1365	1382
3	2308	1382
4	4301	1382
5	5123	1382

prune41.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	78	4	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	5	83

Error

Counts

83 → 5

Alt Table

Status	Error	Program
	33.8b	(+.f64 x (.f64 (sqrt.f64 (-.f64 y z)) (.f64 (-.f64 t x) (sqrt.f64 (-.f64 y z)))))
	25.2b	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
▶	0.5b	(+.f64 (+.f64 x (.f64 t (-.f64 y z))) (.f64 (-.f64 y z) (.f64 (neg.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))))
	40.1b	(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 t x) (.f64 (-.f64 t x) (.f64 (-.f64 y z) (-.f64 y z))))) (+.f64 x (*.f64 (-.f64 t x) (-.f64 z y))))
✓	0.0b	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))

Compiler

Compiled 852 to 291 computations (65.8% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite110.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1763 to 418 computations (76.3% saved)

series74.0ms (1.5%)

Error

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
17.0ms	(cbrt.f64 x)
16.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)

Compiler

Compiled 856 to 490 computations (42.8% saved)

simplify103.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

850×	`log-prod_binary64`
525×	`unswap-sqr_binary64`
346×	`sqr-pow_binary64`
307×	`distribute-rgt-neg-in_binary64`
298×	`associate-l_binary64`

Counts

85 → 60

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	642
1	97	594
2	309	574
3	800	560
4	1864	436
5	2894	436
6	4605	436
7	4971	436

prune30.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	60	5	65

Error

Counts

65 → 5

Alt Table

Status	Error	Program
	33.8b	(+.f64 x (.f64 (sqrt.f64 (-.f64 y z)) (.f64 (-.f64 t x) (sqrt.f64 (-.f64 y z)))))
▶	25.2b	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
✓	0.5b	(+.f64 (+.f64 x (.f64 t (-.f64 y z))) (.f64 (-.f64 y z) (.f64 (neg.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))))
	40.1b	(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 t x) (.f64 (-.f64 t x) (.f64 (-.f64 y z) (-.f64 y z))))) (+.f64 x (*.f64 (-.f64 t x) (-.f64 z y))))
✓	0.0b	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))

Compiler

Compiled 853 to 324 computations (62% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
1.4b	(-.f64 (.f64 y y) (.f64 z z))
5.9b	(.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z)))
21.3b	(/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))

rewrite111.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`*-un-lft-identity_binary64`
13×	`flip3--_binary64` `flip--_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `frac-times_binary64` `associate-/l/_binary64`

Counts

4 → 91

Calls

4 calls:

13.0ms	(/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))
12.0ms	(.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z)))
7.0ms	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
4.0ms	(-.f64 (.f64 y y) (.f64 z z))

Compiler

Compiled 2590 to 451 computations (82.6% saved)

series436.0ms (9%)

Error

Counts

4 → 84

Calls

4 calls:

204.0ms	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
101.0ms	(/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))
78.0ms	(.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z)))
25.0ms	(-.f64 (.f64 y y) (.f64 z z))

Compiler

Compiled 3937 to 2350 computations (40.3% saved)

simplify157.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

792×	`times-frac_binary64`
197×	`distribute-rgt-in_binary64`
180×	`distribute-lft-in_binary64`
158×	`exp-prod_binary64`
148×	`associate-l_binary64`

Counts

175 → 152

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	4384
1	665	4138
2	2517	3482
3	4503	3482
4	5095	3482

prune70.0ms (1.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	153	4	157

Error

Counts

157 → 4

Alt Table

Status	Error	Program
✓	25.2b	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
✓	0.5b	(+.f64 (+.f64 x (.f64 t (-.f64 y z))) (.f64 (-.f64 y z) (.f64 (neg.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))))
✓	0.0b	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
▶	0.0b	(+.f64 x (+.f64 (.f64 x z) (-.f64 (.f64 y (-.f64 t x)) (*.f64 z t))))

Compiler

Compiled 1820 to 596 computations (67.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 y (-.f64 t x)) (.f64 z t))
0.0b	(+.f64 x (+.f64 (.f64 x z) (-.f64 (.f64 y (-.f64 t x)) (*.f64 z t))))
0.0b	(*.f64 y (-.f64 t x))
0.0b	(+.f64 (.f64 x z) (-.f64 (.f64 y (-.f64 t x)) (*.f64 z t)))

rewrite126.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64`
16×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64` `associate--l+_binary64`
12×	`add-cube-cbrt_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
11×	`associate-+r+_binary64`
8×	`sub-neg_binary64`

Counts

4 → 89

Calls

4 calls:

10.0ms	(+.f64 (.f64 x z) (-.f64 (.f64 y (-.f64 t x)) (*.f64 z t)))
10.0ms	(+.f64 x (+.f64 (.f64 x z) (-.f64 (.f64 y (-.f64 t x)) (*.f64 z t))))
9.0ms	(*.f64 y (-.f64 t x))
7.0ms	(-.f64 (.f64 y (-.f64 t x)) (.f64 z t))

Compiler

Compiled 2041 to 414 computations (79.7% saved)

series234.0ms (4.9%)

Error

Counts

4 → 87

Calls

4 calls:

60.0ms	(+.f64 x (+.f64 (.f64 x z) (-.f64 (.f64 y (-.f64 t x)) (*.f64 z t))))
57.0ms	(+.f64 (.f64 x z) (-.f64 (.f64 y (-.f64 t x)) (*.f64 z t)))
50.0ms	(-.f64 (.f64 y (-.f64 t x)) (.f64 z t))
27.0ms	(*.f64 y (-.f64 t x))

Compiler

Compiled 2870 to 1563 computations (45.5% saved)

simplify118.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

632×	`unsub-neg_binary64`
361×	`*-commutative_binary64`
305×	`associate-+l+_binary64`
254×	`associate-+r+_binary64`
226×	`neg-sub0_binary64`

Counts

176 → 148

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	2602
1	484	2398
2	1633	2386
3	3869	2386
4	5183	2386

prune66.0ms (1.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	148	4	152

Error

Counts

152 → 4

Alt Table

Status	Error	Program
	25.2b	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
	0.5b	(+.f64 (+.f64 x (.f64 t (-.f64 y z))) (.f64 (-.f64 y z) (.f64 (neg.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))))
	0.0b	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
	0.0b	(+.f64 x (+.f64 (.f64 x z) (-.f64 (.f64 y (-.f64 t x)) (*.f64 z t))))

Compiler

Compiled 1280 to 308 computations (75.9% saved)

regimes1.1s (22.7%)

Accuracy

Total 0.0b remaining (59%)

Threshold costs 0.0b (59%)

Compiler

Compiled 16911 to 10139 computations (40% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
7×	`*-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	24	22
2	37	22
3	45	22
4	50	22
5	51	22
6	51	22

end1.0ms (0%)

Compiler: Compiled 19 to 11 computations (42.1% saved)

sample781.0ms (16.2%)

Algorithm

1×

intervals

Results

228.0ms	8000×	body	128	valid
81.0ms	2630×	body	128	invalid

Compiler

Compiled 115 to 68 computations (40.9% saved)

Details

analyze780.0ms (16.2%)

sample23.0ms (0.5%)

simplify127.0ms (2.6%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite68.0ms (1.4%)

series123.0ms (2.6%)

simplify106.0ms (2.2%)

prune41.0ms (0.8%)

localize12.0ms (0.3%)

rewrite110.0ms (2.3%)

series74.0ms (1.5%)

simplify103.0ms (2.1%)

prune30.0ms (0.6%)

localize11.0ms (0.2%)

rewrite111.0ms (2.3%)

series436.0ms (9%)

simplify157.0ms (3.3%)

prune70.0ms (1.5%)

localize9.0ms (0.2%)

rewrite126.0ms (2.6%)

series234.0ms (4.9%)

simplify118.0ms (2.4%)

prune66.0ms (1.4%)

regimes1.1s (22.7%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample781.0ms (16.2%)

Profiling