Details

analyze665.0ms (22.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	70
1	228	70
0	4	4
1	4	4

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)

sample22.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	61×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify7.0ms (0.2%)

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

11.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

10.6b

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

rewrite7.0ms (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 (1.1%)

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify77.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5076	280

prune22.0ms (0.7%)

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 299 to 100 computations (66.6% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

5.0b	(*.f64 a2 (/.f64 a1 b1))
5.8b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

rewrite17.0ms (0.6%)

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)

series50.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
19.0ms	(*.f64 a2 (/.f64 a1 b1))

simplify88.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4965	668
1	4965	668

prune44.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	61	8	69

Error

0.0b

Counts

69 → 8

Compiler

Compiled 751 to 227 computations (69.8% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

5.0b	(*.f64 a2 (/.f64 a1 b1))
5.9b	(.f64 (.f64 a2 (/.f64 a1 b1)) (/.f64 1 b2))

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-exp-log_binary64_2503`
28×	`add-cbrt-cube_binary64_2501`
26×	`associate-r_binary64_2405`
22×	`add-sqr-sqrt_binary64_2487` `prod-exp_binary64_2514`
19×	`times-frac_binary64_2471`
17×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
12×	`cbrt-unprod_binary64_2498`
11×	`div-exp_binary64_2516`
9×	`pow1_binary64_2526`
6×	`cbrt-undiv_binary64_2499`
4×	`associate-r/_binary64_2407` `pow-prod-down_binary64_2536` `associate-l*_binary64_2406`
3×	`rec-exp_binary64_2515` `1-exp_binary64_2509`
2×	`add-log-exp_binary64_2504` `*-commutative_binary64_2396` `unswap-sqr_binary64_2433` `div-inv_binary64_2462`
1×	`associate-*l/_binary64_2408` `frac-times_binary64_2475` `un-div-inv_binary64_2463`

Counts

2 → 78

Calls

2 calls:

10.0ms	(.f64 (.f64 a2 (/.f64 a1 b1)) (/.f64 1 b2))
7.0ms	(*.f64 a2 (/.f64 a1 b1))

series52.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

33.0ms	(.f64 (.f64 a2 (/.f64 a1 b1)) (/.f64 1 b2))
19.0ms	(*.f64 a2 (/.f64 a1 b1))

simplify73.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4962	938
1	4962	938

prune54.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	85	7	92

Error

Counts

92 → 7

Compiler

Compiled 1053 to 369 computations (65% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

5.1b	(.f64 a2 (/.f64 a1 (.f64 b1 b2)))
5.4b	(/.f64 a1 (*.f64 b1 b2))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
9×	`add-sqr-sqrt_binary64_2487`
7×	`-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `associate-r*_binary64_2405`
6×	`times-frac_binary64_2471`
5×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
4×	`cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `pow1_binary64_2526`
3×	`associate-/l_binary64_2410` `associate-l*_binary64_2406`
2×	`add-log-exp_binary64_2504` `div-inv_binary64_2462`
1×	`-commutative_binary64_2396` `associate-/r_binary64_2409` `associate-*r/_binary64_2407` `clear-num_binary64_2464` `unswap-sqr_binary64_2433` `frac-2neg_binary64_2476` `pow-prod-down_binary64_2536`

Counts

2 → 48

Calls

2 calls:

7.0ms	(.f64 a2 (/.f64 a1 (.f64 b1 b2)))
4.0ms	(/.f64 a1 (*.f64 b1 b2))

series56.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

34.0ms	(.f64 a2 (/.f64 a1 (.f64 b1 b2)))
21.0ms	(/.f64 a1 (*.f64 b1 b2))

simplify76.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4967	570
1	4967	570

prune26.0ms (0.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	54	7	61

Error

Counts

61 → 7

Compiler

Compiled 572 to 132 computations (76.9% saved)

regimes634.0ms (21%)

Accuracy

Total 2.7b remaining (99.7%)

Threshold costs 0b (0%)

Compiler

Compiled 2088 to 1650 computations (21% saved)

bsearch1.0ms (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	31	110
1	31	110

end0.0ms (0%)

sample944.0ms (31.3%)

Algorithm

1×

intervals

Results

242.0ms	8000×	body	128	valid
63.0ms	1844×	body	128	invalid

Compiler

Compiled 344 to 241 computations (29.9% saved)

Details

analyze665.0ms (22.1%)

sample22.0ms (0.7%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite7.0ms (0.2%)

series32.0ms (1.1%)

simplify77.0ms (2.6%)

prune22.0ms (0.7%)

localize5.0ms (0.2%)

rewrite17.0ms (0.6%)

series50.0ms (1.7%)

simplify88.0ms (2.9%)

prune44.0ms (1.5%)

localize9.0ms (0.3%)

rewrite23.0ms (0.8%)

series52.0ms (1.7%)

simplify73.0ms (2.4%)

prune54.0ms (1.8%)

localize5.0ms (0.2%)

rewrite14.0ms (0.5%)

series56.0ms (1.8%)

simplify76.0ms (2.5%)

prune26.0ms (0.9%)

regimes634.0ms (21%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample944.0ms (31.3%)

Profiling