Details

analyze701.0ms (22.7%)

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
9.4%	90.4%	0.2%	8
9.4%	90.4%	0.2%	9
10.9%	88.9%	0.2%	10
25.9%	73.9%	0.2%	11
47.1%	52.7%	0.2%	12
55.3%	44.5%	0.2%	13
59.2%	40.6%	0.2%	14

sample26.0ms (0.8%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

valid

simplify55.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4937	13
1	4937	13

prune12.0ms (0.4%)

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: 1.5b

Counts

2 → 2

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

3.6b	(/.f64 (.f64 y t) (.f64 2.0 z))
4.3b	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2.0 z))))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`associate-/r*_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`
1×	`flip3--_binary64` `flip--_binary64`

Counts

2 → 58

Calls

2 calls:

8.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2.0 z))))
6.0ms	(/.f64 (.f64 y t) (.f64 2.0 z))

series39.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2.0 z))))
8.0ms	(/.f64 (.f64 y t) (.f64 2.0 z))

simplify38.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4992	833
1	4992	833

prune91.0ms (3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	63	3	66

Merged error: 0.5b

Counts

66 → 3

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.6b	(/.f64 2.0 (/.f64 t z))
4.3b	(/.f64 y (-.f64 z (/.f64 y (/.f64 2.0 (/.f64 t z)))))
5.6b	(/.f64 y (/.f64 2.0 (/.f64 t z)))

rewrite83.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

519×	`times-frac_binary64`
299×	`add-sqr-sqrt_binary64`
251×	`*-un-lft-identity_binary64`
243×	`add-cube-cbrt_binary64`
65×	`associate-/r*_binary64`
23×	`div-inv_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`difference-of-squares_binary64`
10×	`cbrt-undiv_binary64` `div-exp_binary64`
9×	`associate-/l*_binary64`
8×	`associate-/r/_binary64`
4×	`distribute-lft-out--_binary64`
3×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3--_binary64` `flip--_binary64`

Counts

3 → 315

Calls

3 calls:

43.0ms	(/.f64 y (-.f64 z (/.f64 y (/.f64 2.0 (/.f64 t z)))))
13.0ms	(/.f64 y (/.f64 2.0 (/.f64 t z)))
6.0ms	(/.f64 2.0 (/.f64 t z))

series46.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

33.0ms	(/.f64 y (-.f64 z (/.f64 y (/.f64 2.0 (/.f64 t z)))))
8.0ms	(/.f64 y (/.f64 2.0 (/.f64 t z)))
4.0ms	(/.f64 2.0 (/.f64 t z))

simplify94.0ms (3%)

Algorithm

1×	egg-herbie

Counts

324 → 324

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4983	4887
1	4983	4887

prune529.0ms (17.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	323	1	324
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	325	2	327

Merged error: 0.5b

Counts

327 → 2

localize15.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 2.0 (/.f64 z t))
4.3b	(/.f64 y (-.f64 z (/.f64 y (*.f64 2.0 (/.f64 z t)))))
5.6b	(/.f64 y (*.f64 2.0 (/.f64 z t)))

rewrite41.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
31×	`*-un-lft-identity_binary64`
28×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64`
6×	`associate-/r_binary64` `cbrt-undiv_binary64` `associate-/l_binary64` `div-exp_binary64`
5×	`pow1_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`add-log-exp_binary64` `associate-/r/_binary64` `associate-l_binary64` `div-inv_binary64`
2×	`associate-*r/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

3 → 93

Calls

3 calls:

13.0ms	(/.f64 y (-.f64 z (/.f64 y (*.f64 2.0 (/.f64 z t)))))
12.0ms	(*.f64 2.0 (/.f64 z t))
11.0ms	(/.f64 y (*.f64 2.0 (/.f64 z t)))

series73.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

53.0ms	(/.f64 y (-.f64 z (/.f64 y (*.f64 2.0 (/.f64 z t)))))
13.0ms	(/.f64 y (*.f64 2.0 (/.f64 z t)))
6.0ms	(*.f64 2.0 (/.f64 z t))

simplify79.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4973	1094
1	4973	1094

prune164.0ms (5.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	102	2	104

Merged error: 0.5b

Counts

104 → 2

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

1.6b	(-.f64 (.f64 (.f64 z 2.0) z) (*.f64 y t))
18.8b	(/.f64 (.f64 (.f64 y 2.0) z) (-.f64 (.f64 (.f64 z 2.0) z) (*.f64 y t)))

rewrite18.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`associate-/r*_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `times-frac_binary64` `div-exp_binary64`
2×	`pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

2 → 36

Calls

2 calls:

11.0ms	(/.f64 (.f64 (.f64 y 2.0) z) (-.f64 (.f64 (.f64 z 2.0) z) (*.f64 y t)))
6.0ms	(-.f64 (.f64 (.f64 z 2.0) z) (*.f64 y t))

series44.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

35.0ms	(/.f64 (.f64 (.f64 y 2.0) z) (-.f64 (.f64 (.f64 z 2.0) z) (*.f64 y t)))
10.0ms	(-.f64 (.f64 (.f64 z 2.0) z) (*.f64 y t))

simplify63.0ms (2%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4972	594
1	4972	594

prune51.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	42	2	44

Merged error: 0b

Counts

44 → 2

regimes184.0ms (6%)

Accuracy

Total 0.1b remaining (80.2%)

Threshold costs 0.1b (80.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	13
1	57	13

end0.0ms (0%)

sample600.0ms (19.4%)

Algorithm

1×

intervals

Results

394.0ms

8000×

body

valid

Details

analyze701.0ms (22.7%)

sample26.0ms (0.8%)

simplify55.0ms (1.8%)

prune12.0ms (0.4%)

localize9.0ms (0.3%)

rewrite16.0ms (0.5%)

series39.0ms (1.3%)

simplify38.0ms (1.2%)

prune91.0ms (3%)

localize9.0ms (0.3%)

rewrite83.0ms (2.7%)

series46.0ms (1.5%)

simplify94.0ms (3%)

prune529.0ms (17.1%)

localize15.0ms (0.5%)

rewrite41.0ms (1.3%)

series73.0ms (2.4%)

simplify79.0ms (2.6%)

prune164.0ms (5.3%)

localize11.0ms (0.3%)

rewrite18.0ms (0.6%)

series44.0ms (1.4%)

simplify63.0ms (2%)

prune51.0ms (1.7%)

regimes184.0ms (6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample600.0ms (19.4%)

Profiling