Details

analyze574.0ms (14%)

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)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	67×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify104.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	68	10
1	68	10

prune2.0ms (0%)

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: 12.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

11.5b

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

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
4×	`div-exp_binary64_3880` `prod-exp_binary64_3878` `cbrt-undiv_binary64_3863` `cbrt-unprod_binary64_3862`
1×	`add-log-exp_binary64_3868` `div-inv_binary64_3826` `times-frac_binary64_3835` `add-cube-cbrt_binary64_3864` `clear-num_binary64_3828` `pow1_binary64_3890` `-un-lft-identity_binary64_3829` `associate-/l_binary64_3774` `associate-/r*_binary64_3773` `frac-2neg_binary64_3840` `add-sqr-sqrt_binary64_3851`

Counts

1 → 21

Calls

1 calls:

6.0ms

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

series196.0ms (4.8%)

Counts

1 → 12

Calls

1 calls:

196.0ms

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

Compiler

Compiled 184 to 184 computations (0% saved)

simplify73.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5116	378

prune28.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	28	5	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	6	34

Merged error: 0.0b

Counts

34 → 6

Compiler

Compiled 341 to 103 computations (69.8% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

10.4b

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

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_3851`
22×	`times-frac_binary64_3835`
15×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
13×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `associate-r_binary64_3769` `associate-l_binary64_3770`
4×	`div-exp_binary64_3880` `unswap-sqr_binary64_3797` `prod-exp_binary64_3878` `cbrt-undiv_binary64_3863` `cbrt-unprod_binary64_3862`
3×	`pow1_binary64_3890`
2×	`div-inv_binary64_3826`
1×	`add-log-exp_binary64_3868` `pow-prod-down_binary64_3900` `frac-times_binary64_3839` `associate-l/_binary64_3772` `associate-r/_binary64_3771` `*-commutative_binary64_3760`

Counts

1 → 50

Calls

1 calls:

11.0ms

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

series196.0ms (4.8%)

Counts

1 → 12

Calls

1 calls:

196.0ms

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

Compiler

Compiled 184 to 184 computations (0% saved)

simplify87.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4992	811
1	4992	811

prune47.0ms (1.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	58	10	68

Merged error: 0.0b

Counts

68 → 10

Compiler

Compiled 823 to 230 computations (72.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.0b	(/.f64 a2 (*.f64 b1 b2))
6.1b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
9×	`add-sqr-sqrt_binary64_3851`
7×	`add-cube-cbrt_binary64_3864` `-un-lft-identity_binary64_3829` `associate-r*_binary64_3769`
6×	`times-frac_binary64_3835`
5×	`prod-exp_binary64_3878` `cbrt-unprod_binary64_3862`
4×	`div-exp_binary64_3880` `pow1_binary64_3890` `cbrt-undiv_binary64_3863`
3×	`associate-/l_binary64_3774` `associate-l*_binary64_3770`
2×	`add-log-exp_binary64_3868` `div-inv_binary64_3826`
1×	`pow-prod-down_binary64_3900` `unswap-sqr_binary64_3797` `clear-num_binary64_3828` `associate-r/_binary64_3771` `-commutative_binary64_3760` `associate-/r*_binary64_3773` `frac-2neg_binary64_3840`

Counts

2 → 48

Calls

2 calls:

8.0ms	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
4.0ms	(/.f64 a2 (*.f64 b1 b2))

series294.0ms (7.2%)

Counts

2 → 21

Calls

2 calls:

191.0ms	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
103.0ms	(/.f64 a2 (*.f64 b1 b2))

Compiler

Compiled 326 to 326 computations (0% saved)

simplify71.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4971	720
1	4971	720

prune40.0ms (1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	4	3	7
Picked	0	1	1
Done	0	2	2
Total	71	8	79

Merged error: 0.0b

Counts

79 → 8

Compiler

Compiled 730 to 199 computations (72.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

5.7b	(/.f64 (/.f64 a2 b1) b2)
6.1b	(*.f64 a1 (/.f64 (/.f64 a2 b1) b2))

rewrite37.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

144×	`times-frac_binary64_3835`
89×	`add-sqr-sqrt_binary64_3851`
80×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
43×	`associate-r_binary64_3769`
16×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
13×	`associate-/l*_binary64_3774`
9×	`div-inv_binary64_3826`
6×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863`
4×	`pow1_binary64_3890`
3×	`unswap-sqr_binary64_3797` `prod-exp_binary64_3878` `associate-/r_binary64_3773` `cbrt-unprod_binary64_3862` `associate-l*_binary64_3770`
2×	`add-log-exp_binary64_3868`
1×	`pow-prod-down_binary64_3900` `associate-/l/_binary64_3776` `clear-num_binary64_3828` `associate-r/_binary64_3771` `-commutative_binary64_3760` `frac-2neg_binary64_3840`

Counts

2 → 135

Calls

2 calls:

19.0ms	(*.f64 a1 (/.f64 (/.f64 a2 b1) b2))
6.0ms	(/.f64 (/.f64 a2 b1) b2)

series279.0ms (6.8%)

Counts

2 → 21

Calls

2 calls:

177.0ms	(*.f64 a1 (/.f64 (/.f64 a2 b1) b2))
102.0ms	(/.f64 (/.f64 a2 b1) b2)

Compiler

Compiled 326 to 326 computations (0% saved)

simplify93.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4955	2343
1	4955	2343

prune89.0ms (2.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	155	9	164

Merged error: 0b

Counts

164 → 9

Compiler

Compiled 2217 to 454 computations (79.5% saved)

regimes654.0ms (16%)

Compiler: Compiled 2822 to 2179 computations (22.8% 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	41	158
1	41	158

end0.0ms (0%)

sample1.1s (28%)

Algorithm

1×

intervals

Results

245.0ms	1831×	body	128	invalid
225.0ms	8000×	body	128	valid

Compiler

Compiled 474 to 322 computations (32.1% saved)

Details

analyze574.0ms (14%)

sample19.0ms (0.5%)

simplify104.0ms (2.5%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite7.0ms (0.2%)

series196.0ms (4.8%)

simplify73.0ms (1.8%)

prune28.0ms (0.7%)

localize5.0ms (0.1%)

rewrite15.0ms (0.4%)

series196.0ms (4.8%)

simplify87.0ms (2.1%)

prune47.0ms (1.2%)

localize5.0ms (0.1%)

rewrite15.0ms (0.4%)

series294.0ms (7.2%)

simplify71.0ms (1.7%)

prune40.0ms (1%)

localize6.0ms (0.1%)

rewrite37.0ms (0.9%)

series279.0ms (6.8%)

simplify93.0ms (2.3%)

prune89.0ms (2.2%)

regimes654.0ms (16%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (28%)

Profiling