Details

analyze894.0ms

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
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.5%	0.2%	14

sample28.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	26×	body	80	invalid

simplify192.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (191.0ms)

Iter	Nodes	Cost
0	5590	11

prune4.0ms

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: 1.6b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.3b	(* y (/ (- z t) (- a t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- a t))))
7.0ms	(/ (- z t) (- a t))
13.0ms	(* y (/ (- z t) (- a t)))

series54.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (* y (/ (- z t) (- a t))))
12.0ms	(/ (- z t) (- a t))
16.0ms	(* y (/ (- z t) (- a t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4984	1366
1	4984	1366

prune140.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	8	123

Merged error: 0.0b

Counts

123 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
2.3b	(* y (* (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- a t)) (cbrt (- a t))))) (/ (cbrt (- z t)) (cbrt (- a t)))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
25×	`prod-exp` `cbrt-unprod`
24×	`add-cbrt-cube`
15×	`cbrt-prod`
14×	`add-sqr-sqrt` `cbrt-div` `-un-lft-identity` `associate-r/`
13×	`pow1`
9×	`frac-times` `associate-*l/`
8×	`cbrt-undiv` `add-cube-cbrt` `div-exp`
7×	`flip3--` `flip--`
6×	`pow-prod-down`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `distribute-lft-out--` `difference-of-squares`
1×	`associate-r` `*-commutative`

Counts

4 → 89

Calls

4 calls:

3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
32.0ms	(* y (* (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- a t)) (cbrt (- a t))))) (/ (cbrt (- z t)) (cbrt (- a t)))))

series96.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- a t))
26.0ms	(cbrt (- a t))
26.0ms	(cbrt (- a t))
19.0ms	(* y (* (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- a t)) (cbrt (- a t))))) (/ (cbrt (- z t)) (cbrt (- a t)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4955	984
1	4955	984

prune111.0ms

Filtered

66 candidates to 101 candidates (-53.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	101	8	109

Merged error: 0.0b

Counts

109 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
7.2b	(* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- a t)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `*-un-lft-identity`
46×	`associate-r`
40×	`cbrt-prod` `times-frac`
30×	`cbrt-div`
26×	`add-cube-cbrt`
25×	`add-exp-log`
21×	`associate-*r/`
18×	`add-cbrt-cube`
16×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
13×	`pow1`
12×	`associate-*l/` `prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`associate-/r/`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 132

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
24.0ms	(* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- a t)))

series96.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z t))
26.0ms	(cbrt (- z t))
19.0ms	(* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- a t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4959	2137
1	4959	2137

prune142.0ms

Filtered

96 candidates to 144 candidates (-50.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	143	9	152

Merged error: 0b

Counts

152 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- a t)))
10.6b	(/ (* y (- z t)) (- a t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `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` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

8.0ms	(* y (- z t))
7.0ms	(+ x (/ (* y (- z t)) (- a t)))
8.0ms	(/ (* y (- z t)) (- a t))

series48.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* y (- z t))
26.0ms	(+ x (/ (* y (- z t)) (- a t)))
16.0ms	(/ (* y (- z t)) (- a t))

simplify38.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5392	699

prune61.0ms

Filtered

50 candidates to 74 candidates (-48.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	2	3	5
Picked	1	0	1
Done	1	2	3
Total	76	7	83

Merged error: 0b

Counts

83 → 7

regimes609.0ms

Accuracy

39.3% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	34
1	53	34

end0.0ms

sample581.0ms

Algorithm

intervals

Results

304.0ms	7996×	body	80	valid
26.0ms	735×	body	80	invalid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

Details

analyze894.0ms

sample28.0ms

simplify192.0ms

prune4.0ms

localize8.0ms

rewrite28.0ms

series54.0ms

simplify40.0ms

prune140.0ms

localize16.0ms

rewrite44.0ms

series96.0ms

simplify64.0ms

prune111.0ms

localize12.0ms

rewrite39.0ms

series96.0ms

simplify52.0ms

prune142.0ms

localize8.0ms

rewrite25.0ms

series48.0ms

simplify38.0ms

prune61.0ms

regimes609.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample581.0ms

Profiling