Details

analyze594.0ms (16%)

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)

sample22.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	82×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify101.0ms (2.7%)

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

Merged error: 10.2b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

10.0b

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

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
4×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
1×	`add-sqr-sqrt_binary64_2828` `times-frac_binary64_2812` `div-inv_binary64_2803` `associate-/r_binary64_2750` `-un-lft-identity_binary64_2806` `add-log-exp_binary64_2845` `add-cube-cbrt_binary64_2841` `clear-num_binary64_2805` `associate-/l*_binary64_2751` `pow1_binary64_2867` `frac-2neg_binary64_2817`

Counts

1 → 21

Calls

1 calls:

5.0ms

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

series34.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify86.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5076	280

prune27.0ms (0.7%)

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: 0.0b

Counts

25 → 8

Compiler

Compiled 317 to 110 computations (65.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.2b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
5.7b	(/.f64 b1 (/.f64 a2 b2))

rewrite48.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64_2812`
229×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
57×	`associate-/r*_binary64_2750`
22×	`div-inv_binary64_2803`
16×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
9×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840`
6×	`associate-/r/_binary64_2752` `associate-/l*_binary64_2751`
2×	`add-log-exp_binary64_2845` `clear-num_binary64_2805` `pow1_binary64_2867` `frac-2neg_binary64_2817`

Counts

2 → 266

Calls

2 calls:

12.0ms	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
6.0ms	(/.f64 b1 (/.f64 a2 b2))

series64.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

41.0ms	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
23.0ms	(/.f64 b1 (/.f64 a2 b2))

simplify144.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4977	6175
1	4977	6175

prune198.0ms (5.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	266	6	272
Fresh	5	1	6
Picked	1	0	1
Done	0	1	1
Total	272	8	280

Merged error: 0b

Counts

280 → 8

Compiler

Compiled 4772 to 813 computations (83% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

3.8b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
4.6b	(/.f64 a2 (*.f64 b1 b2))

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
9×	`add-sqr-sqrt_binary64_2828`
7×	`-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841` `associate-r*_binary64_2746`
6×	`times-frac_binary64_2812`
5×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
4×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `pow1_binary64_2867`
3×	`associate-l_binary64_2747` `associate-/l*_binary64_2751`
2×	`div-inv_binary64_2803` `add-log-exp_binary64_2845`
1×	`-commutative_binary64_2737` `associate-/r_binary64_2750` `clear-num_binary64_2805` `associate-*r/_binary64_2748` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774` `frac-2neg_binary64_2817`

Counts

2 → 48

Calls

2 calls:

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

series55.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

32.0ms	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
23.0ms	(/.f64 a2 (*.f64 b1 b2))

simplify101.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4990	570
1	4990	570

prune30.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	54	8	62

Merged error: 0b

Counts

62 → 8

Compiler

Compiled 625 to 181 computations (71% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a1)
0.6b	(cbrt.f64 a1)
2.7b	(/.f64 (cbrt.f64 a1) (*.f64 b1 b2))
5.9b	(.f64 (.f64 a2 (.f64 (cbrt.f64 a1) (cbrt.f64 a1))) (/.f64 (cbrt.f64 a1) (.f64 b1 b2)))

rewrite28.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-exp-log_binary64_2844`
31×	`add-cbrt-cube_binary64_2842`
22×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
15×	`cbrt-prod_binary64_2837`
13×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841` `pow1_binary64_2867`
12×	`times-frac_binary64_2812`
10×	`associate-r_binary64_2746`
8×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840`
6×	`associate-/l*_binary64_2751` `pow-prod-down_binary64_2877`
4×	`add-log-exp_binary64_2845`
2×	`div-inv_binary64_2803` `pow1/3_binary64_2888`
1×	`associate-l_binary64_2747` `-commutative_binary64_2737` `associate-/r_binary64_2750` `clear-num_binary64_2805` `associate-*r/_binary64_2748` `frac-2neg_binary64_2817`

Counts

4 → 90

Calls

4 calls:

14.0ms	(.f64 (.f64 a2 (.f64 (cbrt.f64 a1) (cbrt.f64 a1))) (/.f64 (cbrt.f64 a1) (.f64 b1 b2)))
5.0ms	(/.f64 (cbrt.f64 a1) (*.f64 b1 b2))
1.0ms	(cbrt.f64 a1)
1.0ms	(cbrt.f64 a1)

series315.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

91.0ms	(cbrt.f64 a1)
82.0ms	(cbrt.f64 a1)
73.0ms	(.f64 (.f64 a2 (.f64 (cbrt.f64 a1) (cbrt.f64 a1))) (/.f64 (cbrt.f64 a1) (.f64 b1 b2)))
69.0ms	(/.f64 (cbrt.f64 a1) (*.f64 b1 b2))

simplify67.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4998	1061
1	4998	1061

prune61.0ms (1.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	102	8	110

Merged error: 0b

Counts

110 → 8

Compiler

Compiled 1523 to 333 computations (78.1% saved)

regimes650.0ms (17.5%)

Compiler: Compiled 3361 to 2588 computations (23% saved)

bsearch2.0ms (0.1%)

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

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	113
1	38	113

end0.0ms (0%)

sample1.0s (27.6%)

Algorithm

1×

intervals

Results

242.0ms	8000×	body	128	valid
53.0ms	1878×	body	128	invalid

Compiler

Compiled 522 to 374 computations (28.4% saved)

Details

analyze594.0ms (16%)

sample22.0ms (0.6%)

simplify101.0ms (2.7%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite7.0ms (0.2%)

series34.0ms (0.9%)

simplify86.0ms (2.3%)

prune27.0ms (0.7%)

localize6.0ms (0.2%)

rewrite48.0ms (1.3%)

series64.0ms (1.7%)

simplify144.0ms (3.9%)

prune198.0ms (5.3%)

localize6.0ms (0.2%)

rewrite14.0ms (0.4%)

series55.0ms (1.5%)

simplify101.0ms (2.7%)

prune30.0ms (0.8%)

localize12.0ms (0.3%)

rewrite28.0ms (0.8%)

series315.0ms (8.5%)

simplify67.0ms (1.8%)

prune61.0ms (1.6%)

regimes650.0ms (17.5%)

bsearch2.0ms (0.1%)

simplify6.0ms (0.2%)

end0.0ms (0%)

sample1.0s (27.6%)

Profiling