Details

analyze632.0ms

Algorithm

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

sample21.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	62×	body	80	invalid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ (* y (- z x)) t))
5.9b	(/ (* y (- z x)) t)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

6.0ms	(* y (- z x))
5.0ms	(+ x (/ (* y (- z x)) t))
6.0ms	(/ (* y (- z x)) t)

series30.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* y (- z x))
11.0ms	(+ x (/ (* y (- z x)) t))
12.0ms	(/ (* y (- z x)) t)

simplify40.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5612	574

prune82.0ms

Filtered

45 candidates to 68 candidates (-51.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	62	8	70

Merged error: 0.0b

Counts

70 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.6b	(* (cbrt t) (cbrt t))
5.7b	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
40×	`times-frac` `associate-r`
39×	`cbrt-prod`
33×	`add-cube-cbrt`
27×	`add-exp-log`
18×	`add-cbrt-cube`
13×	`pow1` `associate-l`
10×	`unswap-sqr`
9×	`prod-exp` `cbrt-unprod`
8×	`pow1/3`
7×	`cbrt-undiv` `div-exp`
6×	`swap-sqr` `distribute-lft-out--` `difference-of-squares`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/`

Counts

4 → 133

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
5.0ms	(* (cbrt t) (cbrt t))
19.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series92.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt t)
23.0ms	(cbrt t)
26.0ms	(* (cbrt t) (cbrt t))
20.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify85.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5001	1181

prune142.0ms

Filtered

92 candidates to 145 candidates (-57.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	144	9	153

Merged error: 0.0b

Counts

153 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (* (* y (- z x)) (/ 1 t)))
5.9b	(* (* y (- z x)) (/ 1 t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
18×	`associate-r`
17×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`prod-exp`
12×	`add-cube-cbrt`
10×	`pow1`
9×	`times-frac`
7×	`associate-*r/` `cbrt-unprod`
5×	`add-log-exp`
4×	`div-exp` `associate-l` `pow-prod-down`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `frac-times` `sub-neg` `rec-exp` `1-exp` `associate-l/` `-commutative`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `sum-log` `un-div-inv` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 77

Calls

3 calls:

6.0ms	(* y (- z x))
4.0ms	(+ x (* (* y (- z x)) (/ 1 t)))
10.0ms	(* (* y (- z x)) (/ 1 t))

series31.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* y (- z x))
11.0ms	(+ x (* (* y (- z x)) (/ 1 t)))
12.0ms	(* (* y (- z x)) (/ 1 t))

simplify37.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5417	745

prune84.0ms

Filtered

50 candidates to 86 candidates (-72.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	86	9	95

Merged error: 0.0b

Counts

95 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ t (* y (- z x)))))
0.0b	(* y (- z x))
0.4b	(/ 1 (/ t (* y (- z x))))
5.9b	(/ t (* y (- z x)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
32×	`add-exp-log`
31×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `div-inv`
6×	`flip3--` `flip--` `associate-/l*` `add-log-exp`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`sub-neg` `frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `distribute-lft-in` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 124

Calls

4 calls:

11.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
6.0ms	(* y (- z x))
9.0ms	(/ 1 (/ t (* y (- z x))))
8.0ms	(/ t (* y (- z x)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
7.0ms	(* y (- z x))
13.0ms	(/ 1 (/ t (* y (- z x))))
10.0ms	(/ t (* y (- z x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4994	1340
1	4994	1340

prune100.0ms

Filtered

81 candidates to 136 candidates (-67.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	1	4	5
Picked	0	1	1
Done	1	2	3
Total	136	9	145

Merged error: 0b

Counts

145 → 9

regimes377.0ms

Accuracy

1.6% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	45
1	39	45

end0.0ms

sample567.0ms

Algorithm

intervals

Results

250.0ms	8000×	body	80	valid
62.0ms	2116×	body	80	invalid

Details

analyze632.0ms

sample21.0ms

simplify37.0ms

prune11.0ms

localize6.0ms

rewrite19.0ms

series30.0ms

simplify40.0ms

prune82.0ms

localize10.0ms

rewrite31.0ms

series92.0ms

simplify85.0ms

prune142.0ms

localize8.0ms

rewrite24.0ms

series31.0ms

simplify37.0ms

prune84.0ms

localize8.0ms

rewrite37.0ms

series41.0ms

simplify46.0ms

prune100.0ms

regimes377.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample567.0ms

Profiling