Details

analyze407.0ms (15.3%)

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
25%	74.9%	0.2%	7
25%	74.9%	0.2%	8
34.3%	65.5%	0.2%	9
39%	60.8%	0.2%	10
48.3%	51.5%	0.2%	11
53.7%	46.1%	0.2%	12
63.1%	36.7%	0.2%	13
64%	35.6%	0.4%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	16×	body	80	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify18.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	127	10
1	127	10

prune5.0ms (0.2%)

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: 2.9b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

2.9b	(/.f64 x (-.f64 y (*.f64 z t)))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
3×	`associate-/r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
2×	`associate-/r/_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`

Counts

1 → 29

Calls

1 calls:

5.0ms

(/.f64 x (-.f64 y (*.f64 z t)))

series15.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

15.0ms

(/.f64 x (-.f64 y (*.f64 z t)))

simplify70.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4929	511
1	4929	511

prune35.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	27	5	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	6	33

Merged error: 2.8b

Counts

33 → 6

Compiler

Compiled 514 to 142 computations (72.4% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.7b	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
2.9b	(/.f64 (-.f64 y (*.f64 z t)) x)

rewrite18.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`associate-/r*_binary64`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3--_binary64` `associate-/r/_binary64` `div-sub_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

2 → 106

Calls

2 calls:

7.0ms	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
6.0ms	(/.f64 (-.f64 y (*.f64 z t)) x)

series39.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

27.0ms	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
13.0ms	(/.f64 (-.f64 y (*.f64 z t)) x)

simplify95.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5965	2210

prune61.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	113	5	118

Merged error: 2.8b

Counts

118 → 5

Compiler

Compiled 1880 to 467 computations (75.2% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.5b	(/.f64 1 (-.f64 y (*.f64 z t)))
2.7b	(/.f64 (/.f64 1 (-.f64 y (*.f64 z t))) (/.f64 1 x))

rewrite38.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

474×	`times-frac_binary64`
220×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
46×	`add-exp-log_binary64`
34×	`div-exp_binary64`
32×	`div-inv_binary64`
31×	`associate-/r/_binary64`
18×	`associate-/l*_binary64`
16×	`associate-/r*_binary64` `add-cbrt-cube_binary64`
15×	`flip3--_binary64` `flip--_binary64`
9×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64`
3×	`pow1_binary64`
2×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 288

Calls

2 calls:

13.0ms	(/.f64 (/.f64 1 (-.f64 y (*.f64 z t))) (/.f64 1 x))
6.0ms	(/.f64 1 (-.f64 y (*.f64 z t)))

series44.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

32.0ms	(/.f64 (/.f64 1 (-.f64 y (*.f64 z t))) (/.f64 1 x))
12.0ms	(/.f64 1 (-.f64 y (*.f64 z t)))

simplify131.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

294 → 294

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5468	8296

prune174.0ms (6.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	294	0	294
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	294	5	299

Merged error: 2.8b

Counts

299 → 5

Compiler

Compiled 6176 to 2191 computations (64.5% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.7b	(/.f64 1 (.f64 (-.f64 y (.f64 z t)) (/.f64 1 x)))
3.0b	(.f64 (-.f64 y (.f64 z t)) (/.f64 1 x))

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-exp-log_binary64`
19×	`add-sqr-sqrt_binary64`
18×	`div-exp_binary64`
16×	`add-cbrt-cube_binary64` `prod-exp_binary64`
14×	`times-frac_binary64`
13×	`-un-lft-identity_binary64` `associate-r*_binary64`
12×	`add-cube-cbrt_binary64`
9×	`1-exp_binary64` `rec-exp_binary64`
7×	`pow1_binary64`
6×	`associate-/r/_binary64`
5×	`cbrt-undiv_binary64`
4×	`flip3--_binary64` `cbrt-unprod_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
3×	`associate-l_binary64` `unswap-sqr_binary64` `associate-/l*_binary64`
2×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-*r/_binary64` `un-div-inv_binary64` `div-inv_binary64` `pow-flip_binary64`
1×	`associate-/r_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 84

Calls

2 calls:

10.0ms	(.f64 (-.f64 y (.f64 z t)) (/.f64 1 x))
9.0ms	(/.f64 1 (.f64 (-.f64 y (.f64 z t)) (/.f64 1 x)))

series45.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

28.0ms	(/.f64 1 (.f64 (-.f64 y (.f64 z t)) (/.f64 1 x)))
17.0ms	(.f64 (-.f64 y (.f64 z t)) (/.f64 1 x))

simplify85.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5326	1164

prune40.0ms (1.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	90	5	95

Merged error: 2.8b

Counts

95 → 5

Compiler

Compiled 1201 to 384 computations (68% saved)

regimes297.0ms (11.2%)

Compiler: Compiled 437 to 411 computations (5.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

end0.0ms (0%)

sample962.0ms (36.2%)

Algorithm

1×

intervals

Results

219.0ms	8000×	body	80	valid
10.0ms	387×	body	80	invalid

Compiler

Compiled 109 to 89 computations (18.3% saved)

Details

analyze407.0ms (15.3%)

sample16.0ms (0.6%)

simplify18.0ms (0.7%)

prune5.0ms (0.2%)

localize5.0ms (0.2%)

rewrite6.0ms (0.2%)

series15.0ms (0.6%)

simplify70.0ms (2.6%)

prune35.0ms (1.3%)

localize8.0ms (0.3%)

rewrite18.0ms (0.7%)

series39.0ms (1.5%)

simplify95.0ms (3.6%)

prune61.0ms (2.3%)

localize8.0ms (0.3%)

rewrite38.0ms (1.4%)

series44.0ms (1.7%)

simplify131.0ms (4.9%)

prune174.0ms (6.5%)

localize8.0ms (0.3%)

rewrite22.0ms (0.8%)

series45.0ms (1.7%)

simplify85.0ms (3.2%)

prune40.0ms (1.5%)

regimes297.0ms (11.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample962.0ms (36.2%)

Profiling