Details

analyze564.0ms (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)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	67×	body	80	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify27.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

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: 13.5b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

13.2b

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

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`-un-lft-identity_binary64` `associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `clear-num_binary64` `frac-2neg_binary64` `add-sqr-sqrt_binary64` `associate-/l*_binary64` `times-frac_binary64` `div-inv_binary64` `insert-posit16`

Counts

1 → 22

Calls

1 calls:

7.0ms

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

series62.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify155.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4999	292
1	4999	292

prune27.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	17	8	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	8	26

Merged error: 0.1b

Counts

26 → 8

Compiler

Compiled 335 to 121 computations (63.9% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.1b	(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
22×	`times-frac_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
4×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-r/_binary64` `insert-posit16` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

1 → 51

Calls

1 calls:

13.0ms

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

series72.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify210.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (188.0ms)

Iter	Nodes	Cost
0	5002	725

prune50.0ms (1.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	49	5	54
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	52	10	62

Merged error: 0.0b

Counts

62 → 10

Compiler

Compiled 791 to 241 computations (69.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

3.9b	(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
5.0b	(*.f64 a1 (/.f64 a2 b2))

rewrite18.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64` `times-frac_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`pow1_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`add-log-exp_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `div-inv_binary64` `insert-posit16`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `-commutative_binary64`

Counts

2 → 58

Calls

2 calls:

8.0ms	(*.f64 a1 (/.f64 a2 b2))
7.0ms	(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)

series103.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

66.0ms	(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
36.0ms	(*.f64 a1 (/.f64 a2 b2))

simplify170.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	5236	689

prune45.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	65	9	74

Merged error: 0.0b

Counts

74 → 9

Compiler

Compiled 777 to 244 computations (68.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a2)
0.6b	(cbrt.f64 a2)
3.9b	(/.f64 (.f64 (.f64 a1 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2))) (/.f64 (cbrt.f64 a2) b2)) b1)
4.2b	(.f64 (.f64 a1 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2))) (/.f64 (cbrt.f64 a2) b2))

rewrite41.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-exp-log_binary64`
40×	`add-cbrt-cube_binary64`
24×	`cbrt-unprod_binary64` `prod-exp_binary64`
22×	`associate-r_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
15×	`cbrt-prod_binary64`
13×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
6×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64` `insert-posit16`
3×	`associate-/r*_binary64`
2×	`associate-*r/_binary64` `pow1/3_binary64` `div-inv_binary64`
1×	`associate-/l/_binary64` `associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `-commutative_binary64`

Counts

4 → 105

Calls

4 calls:

17.0ms	(/.f64 (.f64 (.f64 a1 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2))) (/.f64 (cbrt.f64 a2) b2)) b1)
16.0ms	(.f64 (.f64 a1 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2))) (/.f64 (cbrt.f64 a2) b2))
1.0ms	(cbrt.f64 a2)
1.0ms	(cbrt.f64 a2)

series448.0ms (13.8%)

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt.f64 a2)
152.0ms	(cbrt.f64 a2)
87.0ms	(/.f64 (.f64 (.f64 a1 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2))) (/.f64 (cbrt.f64 a2) b2)) b1)
58.0ms	(.f64 (.f64 a1 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2))) (/.f64 (cbrt.f64 a2) b2))

simplify137.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4967	1280
1	4967	1280

prune76.0ms (2.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	117	9	126

Merged error: 0.0b

Counts

126 → 9

Compiler

Compiled 1646 to 478 computations (71% saved)

regimes244.0ms (7.5%)

Compiler: Compiled 562 to 554 computations (1.4% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	31	79
1	31	79

end0.0ms (0%)

sample715.0ms (22%)

Algorithm

1×

intervals

Results

252.0ms	8000×	body	80	valid
53.0ms	1747×	body	80	invalid

Compiler

Compiled 151 to 119 computations (21.2% saved)

Details

analyze564.0ms (17.4%)

sample19.0ms (0.6%)

simplify27.0ms (0.8%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite8.0ms (0.2%)

series62.0ms (1.9%)

simplify155.0ms (4.8%)

prune27.0ms (0.8%)

localize6.0ms (0.2%)

rewrite16.0ms (0.5%)

series72.0ms (2.2%)

simplify210.0ms (6.5%)

prune50.0ms (1.5%)

localize5.0ms (0.2%)

rewrite18.0ms (0.6%)

series103.0ms (3.2%)

simplify170.0ms (5.2%)

prune45.0ms (1.4%)

localize10.0ms (0.3%)

rewrite41.0ms (1.3%)

series448.0ms (13.8%)

simplify137.0ms (4.2%)

prune76.0ms (2.3%)

regimes244.0ms (7.5%)

bsearch2.0ms (0.1%)

simplify9.0ms (0.3%)

end0.0ms (0%)

sample715.0ms (22%)

Profiling