Details

analyze44.0ms (0.9%)

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)

sample25.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
5.0ms	261×	pre	128	true
0.0ms	5×	body	128	invalid

Compiler

Compiled 34 to 29 computations (14.7% saved)

simplify93.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4924	19
1	4924	19

prune2.0ms (0%)

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

Error

60.8b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize7.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

rewrite53.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64` `cancel-sign-sub-inv_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-r_binary64`
10×	`associate-l_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`pow1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
5×	`sub-neg_binary64`
4×	`distribute-lft-out--_binary64` `frac-times_binary64`
3×	`associate-/r*_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 113

Calls

8 calls:

17.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
9.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
8.0ms	(*.f64 m (-.f64 1 m))
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0ms	(*.f64 m (-.f64 1 m))

series339.0ms (7%)

Counts

4 → 40

Calls

4 calls:

131.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
92.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
84.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
30.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 817 to 678 computations (17% saved)

simplify73.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4990	2443
1	4990	2443

prune234.0ms (4.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	142	11	153
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	143	11	154

Error

58.9b

Counts

154 → 11

Compiler

Compiled 2888 to 1931 computations (33.1% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

7.2b	(/.f64 (pow.f64 m 3) v)
7.2b	(/.f64 (pow.f64 m 3) v)

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64`
26×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64` `associate-/l*_binary64`
6×	`add-exp-log_binary64`
4×	`sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
3×	`associate-/r*_binary64` `add-cbrt-cube_binary64` `div-exp_binary64`
1×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `pow-exp_binary64`

Counts

1 → 65

Calls

2 calls:

8.0ms	(/.f64 (pow.f64 m 3) v)
0.0ms	(/.f64 (pow.f64 m 3) v)

series84.0ms (1.7%)

Counts

1 → 6

Calls

1 calls:

83.0ms

(/.f64 (pow.f64 m 3) v)

Compiler

Compiled 60 to 60 computations (0% saved)

simplify60.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5132	867

prune83.0ms (1.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	61	10	71
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	62	20	82

Error

58.9b

Counts

82 → 20

Compiler

Compiled 1027 to 535 computations (47.9% saved)

localize9.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.3b	(/.f64 m (cbrt.f64 v))
0.3b	(/.f64 m (*.f64 (cbrt.f64 v) (cbrt.f64 v)))
0.2b	(.f64 (/.f64 m (.f64 (cbrt.f64 v) (cbrt.f64 v))) (*.f64 m (/.f64 m (cbrt.f64 v))))
0.1b	(*.f64 m (/.f64 m (cbrt.f64 v)))
0.5b	(*.f64 (cbrt.f64 v) (cbrt.f64 v))
0.7b	(cbrt.f64 v)
0.7b	(cbrt.f64 v)
0.7b	(cbrt.f64 v)

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

8 calls:

7.0ms	(*.f64 (cbrt.f64 v) (cbrt.f64 v))
1.0ms	(cbrt.f64 v)
1.0ms	(cbrt.f64 v)
1.0ms	(cbrt.f64 v)
0.0ms	(*.f64 m (/.f64 m (cbrt.f64 v)))

series303.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

87.0ms	(*.f64 (cbrt.f64 v) (cbrt.f64 v))
74.0ms	(cbrt.f64 v)
72.0ms	(cbrt.f64 v)
68.0ms	(cbrt.f64 v)

Compiler

Compiled 394 to 286 computations (27.4% saved)

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune97.0ms (2%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	77	8	85
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	81	24	105

Error

58.9b

Counts

105 → 24

Compiler

Compiled 1785 to 640 computations (64.1% saved)

localize15.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.3b	(/.f64 m (cbrt.f64 v))
0.3b	(/.f64 m (.f64 (.f64 (cbrt.f64 (cbrt.f64 v)) (cbrt.f64 (cbrt.f64 v))) (pow.f64 (cbrt.f64 (cbrt.f64 v)) 4)))
0.2b	(.f64 (/.f64 m (.f64 (.f64 (cbrt.f64 (cbrt.f64 v)) (cbrt.f64 (cbrt.f64 v))) (pow.f64 (cbrt.f64 (cbrt.f64 v)) 4))) (.f64 m (/.f64 m (cbrt.f64 v))))
0.1b	(*.f64 m (/.f64 m (cbrt.f64 v)))
0.7b	(cbrt.f64 (cbrt.f64 v))
0.7b	(cbrt.f64 (cbrt.f64 v))
0.7b	(cbrt.f64 (cbrt.f64 v))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 v)) 4)

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 66

Calls

8 calls:

4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 v)) 4)
2.0ms	(cbrt.f64 (cbrt.f64 v))
2.0ms	(cbrt.f64 (cbrt.f64 v))
2.0ms	(cbrt.f64 (cbrt.f64 v))
0.0ms	(*.f64 m (/.f64 m (cbrt.f64 v)))

series453.0ms (9.3%)

Counts

4 → 12

Calls

4 calls:

148.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 v)) 4)
103.0ms	(cbrt.f64 (cbrt.f64 v))
101.0ms	(cbrt.f64 (cbrt.f64 v))
100.0ms	(cbrt.f64 (cbrt.f64 v))

Compiler

Compiled 584 to 392 computations (32.9% saved)

simplify48.0ms (1%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4822	773
1	4822	773

prune92.0ms (1.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	10	13	23
Picked	1	0	1
Done	0	0	0
Total	85	17	102

Error

58.9b

Counts

102 → 17

Compiler

Compiled 2017 to 616 computations (69.5% saved)

regimes515.0ms (10.6%)

Accuracy

Total -58.9b remaining (-32580.8%)

Threshold costs -58.9b (-32580.8%)

Compiler

Compiled 4480 to 3291 computations (26.5% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	101	56
1	101	56

end3.0ms (0.1%)

Compiler: Compiled 49 to 34 computations (30.6% saved)

sample2.1s (43.3%)

Algorithm

1×

intervals

Results

259.0ms	8000×	body	128	valid
158.0ms	8058×	pre	128	true
2.0ms	58×	body	128	invalid

Compiler

Compiled 1589 to 1161 computations (26.9% saved)

Pareto

0.0

Details

analyze44.0ms (0.9%)

sample25.0ms (0.5%)

simplify93.0ms (1.9%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite53.0ms (1.1%)

series339.0ms (7%)

simplify73.0ms (1.5%)

prune234.0ms (4.8%)

localize4.0ms (0.1%)

rewrite13.0ms (0.3%)

series84.0ms (1.7%)

simplify60.0ms (1.2%)

prune83.0ms (1.7%)

localize9.0ms (0.2%)

rewrite15.0ms (0.3%)

series303.0ms (6.2%)

simplify74.0ms (1.5%)

prune97.0ms (2%)

localize15.0ms (0.3%)

rewrite14.0ms (0.3%)

series453.0ms (9.3%)

simplify48.0ms (1%)

prune92.0ms (1.9%)

regimes515.0ms (10.6%)

bsearch5.0ms (0.1%)

simplify4.0ms (0.1%)

end3.0ms (0.1%)

sample2.1s (43.3%)

Profiling