Details

analyze666.0ms (19.9%)

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
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14

sample24.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	80	valid
2.0ms	54×	body	80	invalid

simplify262.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (259.0ms)

Iter	Nodes	Cost
0	1852	11
1	1852	11

prune7.0ms (0.2%)

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: 5.7b

Counts

2 → 1

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1.0 z)))
0.0b	(/.f64 t (-.f64 1.0 z))
5.4b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1.0 z))))

rewrite54.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64`
45×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
12×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`associate-r_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-/l_binary64` `flip--_binary64`
2×	`associate-/r/_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

3 → 86

Calls

3 calls:

27.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1.0 z))))
19.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1.0 z)))
6.0ms	(/.f64 t (-.f64 1.0 z))

series40.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

21.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1.0 z))))
11.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1.0 z)))
8.0ms	(/.f64 t (-.f64 1.0 z))

simplify53.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5153	1120

prune147.0ms (4.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	86	9	95
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	10	96

Merged error: 0.4b

Counts

96 → 10

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 y z) (*.f64 t (/.f64 1 (-.f64 1.0 z))))
0.0b	(/.f64 1 (-.f64 1.0 z))
0.1b	(*.f64 t (/.f64 1 (-.f64 1.0 z)))
5.4b	(.f64 x (-.f64 (/.f64 y z) (.f64 t (/.f64 1 (-.f64 1.0 z)))))

rewrite37.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64`
41×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
26×	`add-cube-cbrt_binary64`
24×	`associate-r_binary64`
19×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
9×	`pow1_binary64`
7×	`associate-*r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
5×	`associate-/r*_binary64` `prod-exp_binary64`
4×	`flip3--_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64` `flip--_binary64` `frac-sub_binary64`
3×	`sub-neg_binary64` `cbrt-unprod_binary64` `associate-/l*_binary64` `un-div-inv_binary64`
2×	`pow-prod-down_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `pow-flip_binary64`

Counts

4 → 122

Calls

4 calls:

11.0ms	(*.f64 t (/.f64 1 (-.f64 1.0 z)))
9.0ms	(.f64 x (-.f64 (/.f64 y z) (.f64 t (/.f64 1 (-.f64 1.0 z)))))
7.0ms	(-.f64 (/.f64 y z) (*.f64 t (/.f64 1 (-.f64 1.0 z))))
6.0ms	(/.f64 1 (-.f64 1.0 z))

series43.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(.f64 x (-.f64 (/.f64 y z) (.f64 t (/.f64 1 (-.f64 1.0 z)))))
11.0ms	(-.f64 (/.f64 y z) (*.f64 t (/.f64 1 (-.f64 1.0 z))))
8.0ms	(*.f64 t (/.f64 1 (-.f64 1.0 z)))
3.0ms	(/.f64 1 (-.f64 1.0 z))

simplify65.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5424	1298

prune178.0ms (5.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	134	10	144

Merged error: 0.4b

Counts

144 → 10

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (-.f64 1.0 z))
1.3b	(-.f64 (.f64 y (-.f64 1.0 z)) (.f64 z t))
5.1b	(.f64 x (-.f64 (.f64 y (-.f64 1.0 z)) (*.f64 z t)))
18.1b	(/.f64 (.f64 x (-.f64 (.f64 y (-.f64 1.0 z)) (.f64 z t))) (.f64 z (-.f64 1.0 z)))

rewrite42.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

16.0ms	(/.f64 (.f64 x (-.f64 (.f64 y (-.f64 1.0 z)) (.f64 z t))) (.f64 z (-.f64 1.0 z)))
10.0ms	(.f64 x (-.f64 (.f64 y (-.f64 1.0 z)) (*.f64 z t)))
7.0ms	(-.f64 (.f64 y (-.f64 1.0 z)) (.f64 z t))
7.0ms	(*.f64 y (-.f64 1.0 z))

series79.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(/.f64 (.f64 x (-.f64 (.f64 y (-.f64 1.0 z)) (.f64 z t))) (.f64 z (-.f64 1.0 z)))
19.0ms	(.f64 x (-.f64 (.f64 y (-.f64 1.0 z)) (*.f64 z t)))
10.0ms	(-.f64 (.f64 y (-.f64 1.0 z)) (.f64 z t))
7.0ms	(*.f64 y (-.f64 1.0 z))

simplify47.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5527	1220

prune135.0ms (4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	5	2	7
Picked	0	1	1
Done	0	2	2
Total	102	8	110

Merged error: 0.0b

Counts

110 → 8

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 y 1) (/.f64 (*.f64 z t) (-.f64 1.0 z)))
6.8b	(.f64 (/.f64 x z) (-.f64 (/.f64 y 1) (/.f64 (.f64 z t) (-.f64 1.0 z))))
7.0b	(/.f64 (*.f64 z t) (-.f64 1.0 z))

rewrite49.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
19×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
8×	`difference-of-squares_binary64`
7×	`associate-r_binary64`
5×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64`
4×	`flip3--_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
3×	`sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `prod-exp_binary64` `div-exp_binary64` `frac-sub_binary64` `frac-times_binary64`
2×	`associate-/r/_binary64` `unswap-sqr_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 87

Calls

3 calls:

25.0ms	(.f64 (/.f64 x z) (-.f64 (/.f64 y 1) (/.f64 (.f64 z t) (-.f64 1.0 z))))
14.0ms	(-.f64 (/.f64 y 1) (/.f64 (*.f64 z t) (-.f64 1.0 z)))
7.0ms	(/.f64 (*.f64 z t) (-.f64 1.0 z))

series58.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

34.0ms	(.f64 (/.f64 x z) (-.f64 (/.f64 y 1) (/.f64 (.f64 z t) (-.f64 1.0 z))))
16.0ms	(-.f64 (/.f64 y 1) (/.f64 (*.f64 z t) (-.f64 1.0 z)))
9.0ms	(/.f64 (*.f64 z t) (-.f64 1.0 z))

simplify56.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4986	1291
1	4986	1291

prune112.0ms (3.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	1	3	4
Picked	0	1	1
Done	1	2	3
Total	96	8	104

Merged error: 0b

Counts

104 → 8

regimes511.0ms (15.3%)

Accuracy

Total 0.3b remaining (93%)

Threshold costs 0.3b (93%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	95	74
1	95	74

end0.0ms (0%)

sample636.0ms (19%)

Algorithm

1×

intervals

Results

310.0ms	8000×	body	80	valid
66.0ms	1803×	body	80	invalid

Details

analyze666.0ms (19.9%)

sample24.0ms (0.7%)

simplify262.0ms (7.8%)

prune7.0ms (0.2%)

localize8.0ms (0.2%)

rewrite54.0ms (1.6%)

series40.0ms (1.2%)

simplify53.0ms (1.6%)

prune147.0ms (4.4%)

localize12.0ms (0.4%)

rewrite37.0ms (1.1%)

series43.0ms (1.3%)

simplify65.0ms (1.9%)

prune178.0ms (5.3%)

localize10.0ms (0.3%)

rewrite42.0ms (1.3%)

series79.0ms (2.4%)

simplify47.0ms (1.4%)

prune135.0ms (4%)

localize11.0ms (0.3%)

rewrite49.0ms (1.5%)

series58.0ms (1.7%)

simplify56.0ms (1.7%)

prune112.0ms (3.4%)

regimes511.0ms (15.3%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample636.0ms (19%)

Profiling