Details

analyze555.0ms (1.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample96.0ms (0.3%)

Algorithm

1×

intervals

Results

31.0ms	256×	body	128	valid
12.0ms	258×	pre	128	true
3.0ms	2×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify688.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (406.0ms)

Iter	Nodes	Cost
0	4740	16
1	4740	16

prune17.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite79.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`add-cube-cbrt_binary64`
10×	`associate-l_binary64`
9×	`associate-r_binary64`
7×	`pow1_binary64`
6×	`cancel-sign-sub-inv_binary64`
4×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64`
3×	`associate-/r*_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`difference-of-sqr-1_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

3 → 78

Calls

3 calls:

30.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
19.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
16.0ms	(*.f64 m (-.f64 1 m))

series232.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

104.0ms	(*.f64 m (-.f64 1 m))
77.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
51.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

simplify288.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (250.0ms)

Iter	Nodes	Cost
0	5031	1100

prune726.0ms (2.4%)

Pruning

40 alts after pruning (39 fresh and 1 done)

	Pruned	Kept	Total
New	48	39	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	40	88

Merged error: 0.0b

Counts

88 → 40

Compiler

Compiled 2160 to 1478 computations (31.6% saved)

localize31.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite126.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`add-cube-cbrt_binary64`
10×	`associate-l_binary64`
9×	`associate-r_binary64`
7×	`pow1_binary64`
6×	`cancel-sign-sub-inv_binary64`
4×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64`
3×	`associate-/r*_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`difference-of-sqr-1_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

3 → 78

Calls

3 calls:

55.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
37.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
22.0ms	(*.f64 m (-.f64 1 m))

series313.0ms (1%)

Counts

3 → 9

Calls

3 calls:

140.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
93.0ms	(*.f64 m (-.f64 1 m))
79.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

simplify193.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (163.0ms)

Iter	Nodes	Cost
0	5031	1100

prune1.8s (6%)

Pruning

72 alts after pruning (70 fresh and 2 done)

	Pruned	Kept	Total
New	50	37	87
Fresh	5	33	38
Picked	0	1	1
Done	0	1	1
Total	55	72	127

Merged error: 0.0b

Counts

127 → 72

Compiler

Compiled 3066 to 2228 computations (27.3% saved)

localize39.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 m (*.f64 m (neg.f64 m)))
0.1b	(/.f64 (+.f64 m (*.f64 m (neg.f64 m))) v)
0.2b	(.f64 (-.f64 (/.f64 (+.f64 m (.f64 m (neg.f64 m))) v) 1) m)

rewrite120.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
10×	`associate-l_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`difference-of-squares_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `distribute-rgt-neg-out_binary64` `difference-of-sqr-1_binary64` `flip-+_binary64` `unsub-neg_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 69

Calls

3 calls:

61.0ms	(.f64 (-.f64 (/.f64 (+.f64 m (.f64 m (neg.f64 m))) v) 1) m)
23.0ms	(/.f64 (+.f64 m (*.f64 m (neg.f64 m))) v)
14.0ms	(+.f64 m (*.f64 m (neg.f64 m)))

series339.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

119.0ms	(+.f64 m (*.f64 m (neg.f64 m)))
110.0ms	(/.f64 (+.f64 m (*.f64 m (neg.f64 m))) v)
110.0ms	(.f64 (-.f64 (/.f64 (+.f64 m (.f64 m (neg.f64 m))) v) 1) m)

simplify191.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (151.0ms)

Iter	Nodes	Cost
0	4932	1253
1	4932	1253

prune2.0s (6.5%)

Pruning

97 alts after pruning (94 fresh and 3 done)

	Pruned	Kept	Total
New	44	34	78
Fresh	9	60	69
Picked	0	1	1
Done	0	2	2
Total	53	97	150

Merged error: 0.0b

Counts

150 → 97

Compiler

Compiled 3759 to 2434 computations (35.2% saved)

localize37.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 m (*.f64 m (neg.f64 m)))
0.1b	(/.f64 (+.f64 m (*.f64 m (neg.f64 m))) v)
0.2b	(.f64 (-.f64 (/.f64 (+.f64 m (.f64 m (neg.f64 m))) v) 1) m)

rewrite109.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
10×	`associate-l_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`difference-of-squares_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `distribute-rgt-neg-out_binary64` `difference-of-sqr-1_binary64` `flip-+_binary64` `unsub-neg_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 69

Calls

3 calls:

51.0ms	(.f64 (-.f64 (/.f64 (+.f64 m (.f64 m (neg.f64 m))) v) 1) m)
24.0ms	(/.f64 (+.f64 m (*.f64 m (neg.f64 m))) v)
12.0ms	(+.f64 m (*.f64 m (neg.f64 m)))

series275.0ms (0.9%)

Counts

3 → 9

Calls

3 calls:

95.0ms	(/.f64 (+.f64 m (*.f64 m (neg.f64 m))) v)
90.0ms	(+.f64 m (*.f64 m (neg.f64 m)))
89.0ms	(.f64 (-.f64 (/.f64 (+.f64 m (.f64 m (neg.f64 m))) v) 1) m)

simplify401.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (337.0ms)

Iter	Nodes	Cost
0	4932	1253
1	4932	1253

prune2.3s (7.3%)

Pruning

116 alts after pruning (112 fresh and 4 done)

	Pruned	Kept	Total
New	48	30	78
Fresh	11	82	93
Picked	0	1	1
Done	0	3	3
Total	59	116	175

Merged error: 0.0b

Counts

175 → 116

Compiler

Compiled 1421 to 675 computations (52.5% saved)

regimes4.1s (13.2%)

Compiler: Compiled 13302 to 9831 computations (26.1% saved)

bsearch3.2s (10.4%)

simplify38.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	16
1	34	16

end0.0ms (0%)

sample12.5s (40.6%)

Algorithm

1×

intervals

Results

552.0ms	8000×	body	128	valid
363.0ms	8049×	pre	128	true
3.0ms	49×	body	128	invalid

Compiler

Compiled 4553 to 3367 computations (26% saved)

Pareto

0.04128893473383497

Details

analyze555.0ms (1.8%)

sample96.0ms (0.3%)

simplify688.0ms (2.2%)

prune17.0ms (0.1%)

localize20.0ms (0.1%)

rewrite79.0ms (0.3%)

series232.0ms (0.8%)

simplify288.0ms (0.9%)

prune726.0ms (2.4%)

localize31.0ms (0.1%)

rewrite126.0ms (0.4%)

series313.0ms (1%)

simplify193.0ms (0.6%)

prune1.8s (6%)

localize39.0ms (0.1%)

rewrite120.0ms (0.4%)

series339.0ms (1.1%)

simplify191.0ms (0.6%)

prune2.0s (6.5%)

localize37.0ms (0.1%)

rewrite109.0ms (0.4%)

series275.0ms (0.9%)

simplify401.0ms (1.3%)

prune2.3s (7.3%)

regimes4.1s (13.2%)

bsearch3.2s (10.4%)

simplify38.0ms (0.1%)

end0.0ms (0%)

sample12.5s (40.6%)

Profiling