Details

analyze818.0ms (15.9%)

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
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

sample28.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	80	valid
4.0ms	81×	body	80	invalid

simplify82.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5189	11

prune14.0ms (0.3%)

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: 0.2b

Counts

2 → 2

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y (*.f64 z 3.0)))
0.2b	(/.f64 y (*.f64 z 3.0))
0.3b	(.f64 (.f64 z 3.0) y)
5.5b	(/.f64 t (.f64 (.f64 z 3.0) y))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64` `times-frac_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow-prod-down_binary64` `associate-r_binary64`
2×	`associate-/r*_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

6.0ms	(/.f64 t (.f64 (.f64 z 3.0) y))
6.0ms	(-.f64 x (/.f64 y (*.f64 z 3.0)))
5.0ms	(.f64 (.f64 z 3.0) y)
4.0ms	(/.f64 y (*.f64 z 3.0))

series26.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

9.0ms	(/.f64 t (.f64 (.f64 z 3.0) y))
9.0ms	(-.f64 x (/.f64 y (*.f64 z 3.0)))
5.0ms	(.f64 (.f64 z 3.0) y)
4.0ms	(/.f64 y (*.f64 z 3.0))

simplify44.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5096	669

prune163.0ms (3.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	76	11	87
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	78	11	89

Merged error: 0.0b

Counts

89 → 11

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)
1.2b	(/.f64 (*.f64 z 3.0) (/.f64 (cbrt.f64 t) y))
3.7b	(/.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 (.f64 z 3.0) (/.f64 (cbrt.f64 t) y)))

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

165×	`times-frac_binary64`
60×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
57×	`add-exp-log_binary64`
49×	`associate-/r*_binary64`
42×	`cbrt-prod_binary64`
41×	`add-cbrt-cube_binary64`
28×	`cbrt-undiv_binary64` `div-exp_binary64`
11×	`cbrt-unprod_binary64` `prod-exp_binary64`
8×	`div-inv_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-/r/_binary64`
2×	`pow1/3_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64`

Counts

4 → 172

Calls

4 calls:

14.0ms	(/.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 (.f64 z 3.0) (/.f64 (cbrt.f64 t) y)))
9.0ms	(/.f64 (*.f64 z 3.0) (/.f64 (cbrt.f64 t) y))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series88.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(/.f64 (*.f64 z 3.0) (/.f64 (cbrt.f64 t) y))
20.0ms	(cbrt.f64 t)
19.0ms	(cbrt.f64 t)
13.0ms	(/.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 (.f64 z 3.0) (/.f64 (cbrt.f64 t) y)))

simplify81.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4937	1988
1	4937	1988

prune242.0ms (4.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	185	10	195

Merged error: 0.0b

Counts

195 → 10

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y (*.f64 z 3.0)))
0.2b	(/.f64 y (*.f64 z 3.0))
0.3b	(/.f64 3.0 (/.f64 1 y))
4.0b	(/.f64 (/.f64 t z) (/.f64 3.0 (/.f64 1 y)))

rewrite124.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

1979×	`times-frac_binary64`
855×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
853×	`add-cube-cbrt_binary64`
108×	`div-inv_binary64`
58×	`associate-/r*_binary64`
53×	`add-exp-log_binary64`
35×	`add-cbrt-cube_binary64` `div-exp_binary64`
20×	`cbrt-undiv_binary64`
19×	`associate-/l*_binary64`
16×	`associate-/r/_binary64`
6×	`add-log-exp_binary64`
4×	`pow1_binary64`
3×	`1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 763

Calls

4 calls:

34.0ms	(/.f64 (/.f64 t z) (/.f64 3.0 (/.f64 1 y)))
12.0ms	(/.f64 3.0 (/.f64 1 y))
6.0ms	(-.f64 x (/.f64 y (*.f64 z 3.0)))
5.0ms	(/.f64 y (*.f64 z 3.0))

series24.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

9.0ms	(-.f64 x (/.f64 y (*.f64 z 3.0)))
8.0ms	(/.f64 (/.f64 t z) (/.f64 3.0 (/.f64 1 y)))
4.0ms	(/.f64 y (*.f64 z 3.0))
3.0ms	(/.f64 3.0 (/.f64 1 y))

simplify166.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

775 → 775

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4986	14526
1	4986	14526

prune1.7s (33%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	774	1	775
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	775	10	785

Merged error: 0.0b

Counts

785 → 10

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 (/.f64 y z) 0.3333333333333333))
0.2b	(*.f64 (/.f64 y z) 0.3333333333333333)
0.3b	(.f64 (.f64 z 3.0) y)
5.5b	(/.f64 t (.f64 (.f64 z 3.0) y))

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
14×	`associate-l_binary64`
13×	`times-frac_binary64`
11×	`pow1_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64`
4×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`associate-/l*_binary64`
2×	`unswap-sqr_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`associate-/r_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `associate-l/_binary64`

Counts

4 → 84

Calls

4 calls:

7.0ms	(/.f64 t (.f64 (.f64 z 3.0) y))
6.0ms	(*.f64 (/.f64 y z) 0.3333333333333333)
5.0ms	(.f64 (.f64 z 3.0) y)
3.0ms	(-.f64 x (*.f64 (/.f64 y z) 0.3333333333333333))

series26.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

9.0ms	(-.f64 x (*.f64 (/.f64 y z) 0.3333333333333333))
8.0ms	(/.f64 t (.f64 (.f64 z 3.0) y))
5.0ms	(.f64 (.f64 z 3.0) y)
4.0ms	(*.f64 (/.f64 y z) 0.3333333333333333)

simplify69.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4970	716
1	4970	716

prune106.0ms (2.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	97	9	106

Merged error: 0b

Counts

106 → 9

regimes418.0ms (8.1%)

Accuracy

Total 1.6b remaining (98.5%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	17
1	33	17

end0.0ms (0%)

sample797.0ms (15.5%)

Algorithm

1×

intervals

Results

368.0ms	8000×	body	80	valid
140.0ms	2995×	body	80	invalid

Details

analyze818.0ms (15.9%)

sample28.0ms (0.5%)

simplify82.0ms (1.6%)

prune14.0ms (0.3%)

localize9.0ms (0.2%)

rewrite23.0ms (0.5%)

series26.0ms (0.5%)

simplify44.0ms (0.9%)

prune163.0ms (3.2%)

localize13.0ms (0.2%)

rewrite34.0ms (0.7%)

series88.0ms (1.7%)

simplify81.0ms (1.6%)

prune242.0ms (4.7%)

localize11.0ms (0.2%)

rewrite124.0ms (2.4%)

series24.0ms (0.5%)

simplify166.0ms (3.2%)

prune1.7s (33%)

localize14.0ms (0.3%)

rewrite24.0ms (0.5%)

series26.0ms (0.5%)

simplify69.0ms (1.3%)

prune106.0ms (2.1%)

regimes418.0ms (8.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample797.0ms (15.5%)

Profiling