Details

analyze1.1s (19.3%)

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
0%	99.8%	0.2%	9
0.4%	99.4%	0.2%	10
5.6%	94.2%	0.2%	11
7.1%	92.7%	0.2%	12
8.8%	91%	0.2%	13
15.6%	84.2%	0.2%	14

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	80	valid
1.0ms	16×	body	80	invalid

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4943	13
1	4943	13

prune8.0ms (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: 1.3b

Counts

2 → 1

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 (-.f64 t z) 1.0) a)
0.0b	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1.0) a)))
8.5b	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1.0) a))

rewrite74.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

239×	`*-un-lft-identity_binary64`
203×	`times-frac_binary64`
136×	`add-sqr-sqrt_binary64`
87×	`add-cube-cbrt_binary64`
44×	`distribute-lft-out_binary64`
43×	`distribute-lft-out--_binary64`
23×	`difference-of-squares_binary64`
22×	`associate-/r*_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
8×	`div-inv_binary64`
5×	`add-log-exp_binary64`
4×	`associate-/l/_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64` `div-sub_binary64`
2×	`flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `associate--r-_binary64` `associate-/r/_binary64` `associate-+l-_binary64` `flip-+_binary64`

Counts

3 → 191

Calls

3 calls:

39.0ms	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1.0) a)))
15.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1.0) a))
9.0ms	(/.f64 (+.f64 (-.f64 t z) 1.0) a)

series85.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

40.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1.0) a))
37.0ms	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1.0) a)))
8.0ms	(/.f64 (+.f64 (-.f64 t z) 1.0) a)

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5358	3545

prune286.0ms (5.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	197	4	201

Merged error: 0.0b

Counts

201 → 4

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) a))
0.0b	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0))
0.3b	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) a)

rewrite36.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

104×	`*-un-lft-identity_binary64`
54×	`add-sqr-sqrt_binary64`
51×	`times-frac_binary64`
31×	`associate-l_binary64`
27×	`add-cube-cbrt_binary64`
22×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64`
11×	`difference-of-squares_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-/l_binary64`
4×	`associate-/r/_binary64`
3×	`associate-r_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

3 → 113

Calls

3 calls:

17.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) a)
11.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0))
3.0ms	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) a))

series89.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

39.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) a)
37.0ms	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) a))
13.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0))

simplify47.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5768	1629

prune148.0ms (2.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	122	4	126

Merged error: 0b

Counts

126 → 4

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) (/.f64 1 a)))
0.0b	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0))
0.5b	(/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) (/.f64 1 a))

rewrite198.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Rules

1079×	`times-frac_binary64`
929×	`*-un-lft-identity_binary64`
570×	`add-sqr-sqrt_binary64`
393×	`add-cube-cbrt_binary64`
153×	`distribute-lft-out--_binary64`
152×	`distribute-lft-out_binary64`
83×	`difference-of-squares_binary64`
48×	`div-inv_binary64`
36×	`associate-/l*_binary64`
31×	`associate-/r/_binary64`
27×	`add-exp-log_binary64`
18×	`associate-/r*_binary64`
17×	`add-cbrt-cube_binary64` `div-exp_binary64`
15×	`flip3-+_binary64` `flip-+_binary64`
9×	`cbrt-undiv_binary64`
5×	`add-log-exp_binary64` `div-sub_binary64`
3×	`associate-/l/_binary64` `pow1_binary64`
2×	`flip3--_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate--r-_binary64`

Counts

3 → 544

Calls

3 calls:

109.0ms	(-.f64 x (/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) (/.f64 1 a)))
26.0ms	(/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) (/.f64 1 a))
11.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0))

series88.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

39.0ms	(-.f64 x (/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) (/.f64 1 a)))
36.0ms	(/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)) (/.f64 1 a))
13.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0))

simplify114.0ms (2%)

Algorithm

1×	egg-herbie

Counts

553 → 553

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	6093	12838

prune836.0ms (15%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	553	0	553
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	553	4	557

Merged error: 0b

Counts

557 → 4

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0))) (cbrt.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0))))
2.2b	(cbrt.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)))
2.2b	(cbrt.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)))
2.2b	(cbrt.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)))

rewrite109.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

624×	`*-un-lft-identity_binary64`
333×	`cbrt-prod_binary64`
285×	`times-frac_binary64`
219×	`add-sqr-sqrt_binary64`
136×	`distribute-lft-out--_binary64`
134×	`distribute-lft-out_binary64`
101×	`add-cube-cbrt_binary64`
86×	`swap-sqr_binary64`
47×	`difference-of-squares_binary64`
34×	`associate-r_binary64` `associate-l_binary64`
14×	`associate-/r/_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `unswap-sqr_binary64`
7×	`cbrt-div_binary64` `flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 304

Calls

4 calls:

50.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0))) (cbrt.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0))))
11.0ms	(cbrt.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)))
11.0ms	(cbrt.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)))
11.0ms	(cbrt.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)))

series178.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

55.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0))) (cbrt.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0))))
45.0ms	(cbrt.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)))
39.0ms	(cbrt.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)))
39.0ms	(cbrt.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1.0)))

simplify101.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5006	6875

prune606.0ms (10.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	316	0	316
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	316	4	320

Merged error: 0b

Counts

320 → 4

regimes447.0ms (8%)

Accuracy

Total 0.2b remaining (93%)

Threshold costs 0.2b (93%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	163	13
1	163	13

end0.0ms (0%)

sample858.0ms (15.4%)

Algorithm

1×

intervals

Results

566.0ms	7999×	body	80	valid
19.0ms	481×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze1.1s (19.3%)

sample24.0ms (0.4%)

simplify60.0ms (1.1%)

prune8.0ms (0.1%)

localize9.0ms (0.2%)

rewrite74.0ms (1.3%)

series85.0ms (1.5%)

simplify61.0ms (1.1%)

prune286.0ms (5.1%)

localize9.0ms (0.2%)

rewrite36.0ms (0.7%)

series89.0ms (1.6%)

simplify47.0ms (0.8%)

prune148.0ms (2.6%)

localize13.0ms (0.2%)

rewrite198.0ms (3.5%)

series88.0ms (1.6%)

simplify114.0ms (2%)

prune836.0ms (15%)

localize21.0ms (0.4%)

rewrite109.0ms (2%)

series178.0ms (3.2%)

simplify101.0ms (1.8%)

prune606.0ms (10.9%)

regimes447.0ms (8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample858.0ms (15.4%)

Profiling