Details

analyze1.1s (17.4%)

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)

sample41.0ms (0.7%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
3.0ms	54×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify174.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	68	10
1	68	10

prune4.0ms (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: 12.6b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

12.3b

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

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
4×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `cbrt-undiv_binary64_4204` `div-exp_binary64_4221`
1×	`pow1_binary64_4231` `add-sqr-sqrt_binary64_4192` `-un-lft-identity_binary64_4170` `frac-2neg_binary64_4181` `associate-/l_binary64_4115` `div-inv_binary64_4167` `times-frac_binary64_4176` `add-log-exp_binary64_4209` `associate-/r*_binary64_4114` `clear-num_binary64_4169` `add-cube-cbrt_binary64_4205`

Counts

1 → 21

Calls

1 calls:

12.0ms

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

series56.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify129.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	5076	280

prune50.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	17	7	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	8	25

Merged error: 0.1b

Counts

25 → 8

Compiler

Compiled 317 to 110 computations (65.3% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

5.1b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
6.1b	(*.f64 a2 (/.f64 a1 b1))

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_4192`
16×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
13×	`associate-r_binary64_4110` `times-frac_binary64_4176`
12×	`*-un-lft-identity_binary64_4170` `add-cube-cbrt_binary64_4205`
5×	`cbrt-undiv_binary64_4204` `div-exp_binary64_4221`
4×	`pow1_binary64_4231` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203`
3×	`associate-l_binary64_4111` `associate-/r*_binary64_4114`
2×	`associate-*r/_binary64_4112` `div-inv_binary64_4167` `add-log-exp_binary64_4209` `unswap-sqr_binary64_4138`
1×	`frac-2neg_binary64_4181` `associate-/l_binary64_4115` `-commutative_binary64_4101` `pow-prod-down_binary64_4241` `associate-/l/_binary64_4117` `clear-num_binary64_4169`

Counts

2 → 56

Calls

2 calls:

12.0ms	(*.f64 a2 (/.f64 a1 b1))
10.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

series79.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

47.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
32.0ms	(*.f64 a2 (/.f64 a1 b1))

simplify145.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4965	668
1	4965	668

prune97.0ms (1.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	1	5	6
Picked	1	0	1
Done	1	0	1
Total	60	10	70

Merged error: 0.0b

Counts

70 → 10

Compiler

Compiled 808 to 256 computations (68.3% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

5.2b	(.f64 (.f64 a2 (/.f64 a1 b1)) (/.f64 1 b2))
6.1b	(*.f64 a2 (/.f64 a1 b1))

rewrite47.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-exp-log_binary64_4208`
28×	`add-cbrt-cube_binary64_4206`
26×	`associate-r_binary64_4110`
22×	`add-sqr-sqrt_binary64_4192` `prod-exp_binary64_4219`
19×	`times-frac_binary64_4176`
17×	`*-un-lft-identity_binary64_4170` `add-cube-cbrt_binary64_4205`
12×	`cbrt-unprod_binary64_4203`
11×	`div-exp_binary64_4221`
9×	`pow1_binary64_4231`
6×	`cbrt-undiv_binary64_4204`
4×	`associate-r/_binary64_4112` `associate-l*_binary64_4111` `pow-prod-down_binary64_4241`
3×	`1-exp_binary64_4214` `rec-exp_binary64_4220`
2×	`div-inv_binary64_4167` `*-commutative_binary64_4101` `add-log-exp_binary64_4209` `unswap-sqr_binary64_4138`
1×	`frac-times_binary64_4180` `associate-*l/_binary64_4113` `un-div-inv_binary64_4168`

Counts

2 → 78

Calls

2 calls:

20.0ms	(.f64 (.f64 a2 (/.f64 a1 b1)) (/.f64 1 b2))
14.0ms	(*.f64 a2 (/.f64 a1 b1))

series98.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

62.0ms	(.f64 (.f64 a2 (/.f64 a1 b1)) (/.f64 1 b2))
36.0ms	(*.f64 a2 (/.f64 a1 b1))

simplify129.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4962	938
1	4962	938

prune107.0ms (1.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

Compiler

Compiled 1103 to 403 computations (63.5% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.8b	(/.f64 b2 (/.f64 a1 b1))
5.8b	(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))

rewrite85.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64_4176`
229×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170` `add-cube-cbrt_binary64_4205`
57×	`associate-/r*_binary64_4114`
22×	`div-inv_binary64_4167`
16×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
9×	`cbrt-undiv_binary64_4204` `div-exp_binary64_4221`
6×	`associate-/l*_binary64_4115` `associate-/r/_binary64_4116`
2×	`pow1_binary64_4231` `frac-2neg_binary64_4181` `add-log-exp_binary64_4209` `clear-num_binary64_4169`

Counts

2 → 266

Calls

2 calls:

24.0ms	(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
10.0ms	(/.f64 b2 (/.f64 a1 b1))

series94.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

55.0ms	(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
38.0ms	(/.f64 b2 (/.f64 a1 b1))

simplify225.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4989	6175
1	4989	6175

prune326.0ms (5.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	270	2	272
Fresh	3	5	8
Picked	1	0	1
Done	1	0	1
Total	275	7	282

Merged error: 0b

Counts

282 → 7

Compiler

Compiled 4712 to 757 computations (83.9% saved)

regimes1.1s (18.5%)

Compiler: Compiled 3538 to 2596 computations (26.6% saved)

bsearch3.0ms (0%)

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	51	128
1	51	128

end0.0ms (0%)

sample1.9s (31.7%)

Algorithm

1×

intervals

Results

428.0ms	8000×	body	128	valid
98.0ms	1851×	body	128	invalid

Compiler

Compiled 563 to 389 computations (30.9% saved)

Details

analyze1.1s (17.4%)

sample41.0ms (0.7%)

simplify174.0ms (2.9%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

rewrite15.0ms (0.2%)

series56.0ms (0.9%)

simplify129.0ms (2.1%)

prune50.0ms (0.8%)

localize11.0ms (0.2%)

rewrite29.0ms (0.5%)

series79.0ms (1.3%)

simplify145.0ms (2.4%)

prune97.0ms (1.6%)

localize14.0ms (0.2%)

rewrite47.0ms (0.8%)

series98.0ms (1.6%)

simplify129.0ms (2.1%)

prune107.0ms (1.7%)

localize11.0ms (0.2%)

rewrite85.0ms (1.4%)

series94.0ms (1.5%)

simplify225.0ms (3.7%)

prune326.0ms (5.3%)

regimes1.1s (18.5%)

bsearch3.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample1.9s (31.7%)

Profiling