Details

analyze553.0ms (17.3%)

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
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)

sample18.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	63×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify98.0ms (3.1%)

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

Error

12.2b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

11.8b

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

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
4×	`cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
1×	`-un-lft-identity_binary64_2465` `add-log-exp_binary64_2504` `times-frac_binary64_2471` `associate-/r_binary64_2409` `add-cube-cbrt_binary64_2500` `clear-num_binary64_2464` `add-sqr-sqrt_binary64_2487` `div-inv_binary64_2462` `pow1_binary64_2526` `frac-2neg_binary64_2476` `associate-/l*_binary64_2410`

Counts

1 → 21

Calls

1 calls:

6.0ms

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

series32.0ms (1%)

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify73.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5076	280

prune24.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	7	25

Error

0.1b

Counts

25 → 7

Compiler

Compiled 290 to 99 computations (65.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

5.1b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
5.5b	(*.f64 a2 (/.f64 a1 b1))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_2487`
16×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
13×	`times-frac_binary64_2471` `associate-r_binary64_2405`
12×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
5×	`cbrt-undiv_binary64_2499` `div-exp_binary64_2516`
4×	`pow1_binary64_2526` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
3×	`associate-/r_binary64_2409` `associate-l*_binary64_2406`
2×	`add-log-exp_binary64_2504` `associate-*r/_binary64_2407` `unswap-sqr_binary64_2433` `div-inv_binary64_2462`
1×	`-commutative_binary64_2396` `associate-/l/_binary64_2412` `clear-num_binary64_2464` `frac-2neg_binary64_2476` `pow-prod-down_binary64_2536` `associate-/l_binary64_2410`

Counts

2 → 56

Calls

2 calls:

7.0ms	(*.f64 a2 (/.f64 a1 b1))
6.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

series52.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
21.0ms	(*.f64 a2 (/.f64 a1 b1))

simplify83.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4965	668
1	4965	668

prune47.0ms (1.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	1	4	5
Picked	0	1	1
Done	1	0	1
Total	60	9	69

Error

0.0b

Counts

69 → 9

Compiler

Compiled 754 to 236 computations (68.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

5.1b	(/.f64 (/.f64 (*.f64 a2 a1) b1) b2)
5.5b	(/.f64 (*.f64 a2 a1) b1)

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64_2471`
20×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
16×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`associate-/l*_binary64_2410`
7×	`cbrt-undiv_binary64_2499` `div-exp_binary64_2516`
6×	`associate-/r*_binary64_2409` `div-inv_binary64_2462`
2×	`add-log-exp_binary64_2504` `clear-num_binary64_2464` `pow1_binary64_2526` `prod-exp_binary64_2514` `frac-2neg_binary64_2476` `cbrt-unprod_binary64_2498`
1×	`associate-/l/_binary64_2412`

Counts

2 → 69

Calls

2 calls:

7.0ms	(/.f64 (/.f64 (*.f64 a2 a1) b1) b2)
5.0ms	(/.f64 (*.f64 a2 a1) b1)

series56.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

34.0ms	(/.f64 (/.f64 (*.f64 a2 a1) b1) b2)
22.0ms	(/.f64 (*.f64 a2 a1) b1)

simplify74.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5018	1039

prune49.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	1	6	7
Picked	0	1	1
Done	1	0	1
Total	76	8	84

Error

0.0b

Counts

84 → 8

Compiler

Compiled 964 to 250 computations (74.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

5.1b	(/.f64 b1 (/.f64 a2 b2))
5.9b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

rewrite48.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64_2471`
229×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
57×	`associate-/r*_binary64_2409`
22×	`div-inv_binary64_2462`
16×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
9×	`cbrt-undiv_binary64_2499` `div-exp_binary64_2516`
6×	`associate-/r/_binary64_2411` `associate-/l*_binary64_2410`
2×	`add-log-exp_binary64_2504` `clear-num_binary64_2464` `pow1_binary64_2526` `frac-2neg_binary64_2476`

Counts

2 → 266

Calls

2 calls:

13.0ms	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
6.0ms	(/.f64 b1 (/.f64 a2 b2))

series63.0ms (2%)

Counts

2 → 6

Calls

2 calls:

39.0ms	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
23.0ms	(/.f64 b1 (/.f64 a2 b2))

simplify143.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4977	6175
1	4977	6175

prune178.0ms (5.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	270	2	272
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	270	10	280

Error

Counts

280 → 10

Compiler

Compiled 4712 to 757 computations (83.9% saved)

regimes506.0ms (15.9%)

Accuracy

Total 2.5b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 3573 to 2631 computations (26.4% saved)

bsearch2.0ms (0%)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	158
1	42	158

end0.0ms (0%)

sample1.0s (32.1%)

Algorithm

1×

intervals

Results

228.0ms	8000×	body	128	valid
48.0ms	1836×	body	128	invalid

Compiler

Compiled 588 to 396 computations (32.7% saved)

Details

analyze553.0ms (17.3%)

sample18.0ms (0.6%)

simplify98.0ms (3.1%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite8.0ms (0.2%)

series32.0ms (1%)

simplify73.0ms (2.3%)

prune24.0ms (0.8%)

localize5.0ms (0.2%)

rewrite16.0ms (0.5%)

series52.0ms (1.6%)

simplify83.0ms (2.6%)

prune47.0ms (1.5%)

localize5.0ms (0.2%)

rewrite16.0ms (0.5%)

series56.0ms (1.8%)

simplify74.0ms (2.3%)

prune49.0ms (1.5%)

localize5.0ms (0.2%)

rewrite48.0ms (1.5%)

series63.0ms (2%)

simplify143.0ms (4.5%)

prune178.0ms (5.6%)

regimes506.0ms (15.9%)

bsearch2.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (32.1%)

Profiling