Details

sample34.0ms

Algorithm

intervals

Results

9.0ms	239×	body	80	valid
3.0ms	20×	body	640	valid
1.0ms	14×	body	320	valid
1.0ms	7×	body	1280	valid
1.0ms	9×	body	160	valid
0.0ms	2×	body	2560	valid

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	5503	13

prune12.0ms

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: 12.6b

Counts

2 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.5b	(* (- y x) (/ (- z t) (- a t)))
2.2b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `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 → 119

Calls

3 calls:

8.0ms	(/ (- z t) (- a t))
16.0ms	(* (- y x) (/ (- z t) (- a t)))
3.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series92.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- z t) (- a t))
31.0ms	(* (- y x) (/ (- z t) (- a t)))
51.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify54.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4981	1606
1	4981	1606

prune158.0ms

Filtered

87 candidates to 128 candidates (-47.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	119	9	128
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	119	11	130

Merged error: 4.2b

Counts

130 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
1.5b	(* (- y x) (* (- z t) (/ 1 (- a t))))
3.9b	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`frac-times` `add-cbrt-cube`
17×	`flip3--` `flip--`
13×	`prod-exp`
12×	`pow1`
10×	`associate-r/` `associate-l` `associate-l/`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`associate-/r*`
4×	`pow-prod-down` `associate-/r/` `un-div-inv`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 146

Calls

4 calls:

5.0ms	(/ 1 (- a t))
13.0ms	(* (- z t) (/ 1 (- a t)))
17.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
4.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series96.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1 (- a t))
9.0ms	(* (- z t) (/ 1 (- a t)))
31.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
52.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify43.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5460	1774

prune153.0ms

Filtered

97 candidates to 158 candidates (-62.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	158	11	169

Merged error: 4.2b

Counts

169 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
1.5b	(* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))
10.0b	(+ x (* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t))))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

91×	`times-frac`
69×	`add-sqr-sqrt`
59×	`*-un-lft-identity`
51×	`associate-r`
36×	`cbrt-prod`
27×	`add-cube-cbrt`
22×	`add-exp-log`
16×	`add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
7×	`prod-exp` `cbrt-unprod`
6×	`pow1` `cbrt-undiv` `cbrt-div` `div-exp` `add-log-exp`
5×	`flip3--` `associate-l` `flip--`
4×	`unswap-sqr`
3×	`associate-/r/`
2×	`frac-times` `pow1/3` `associate-*l/` `div-inv`
1×	`+-commutative` `flip3-+` `associate-r/` `pow-prod-down` `sum-log` `-commutative` `flip-+`

Counts

4 → 125

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
33.0ms	(* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))
3.0ms	(+ x (* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t))))))

series136.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z t))
31.0ms	(* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))
52.0ms	(+ x (* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t))))))

simplify36.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5101	2023

prune150.0ms

Filtered

100 candidates to 137 candidates (-37.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	0	8	8
Picked	0	1	1
Done	1	1	2
Total	137	11	148

Merged error: 4.2b

Counts

148 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

1.5b	(cbrt (* (- y x) (/ (- z t) (- a t))))
1.5b	(cbrt (* (- y x) (/ (- z t) (- a t))))
1.5b	(cbrt (* (- y x) (/ (- z t) (- a t))))
8.0b	(+ x (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-div`
6×	`frac-times` `flip3--` `associate-*l/` `flip--` `add-log-exp`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`cbrt-prod` `pow1/3` `associate-*r/`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 53

Calls

4 calls:

10.0ms	(cbrt (* (- y x) (/ (- z t) (- a t))))
10.0ms	(cbrt (* (- y x) (/ (- z t) (- a t))))
10.0ms	(cbrt (* (- y x) (/ (- z t) (- a t))))
3.0ms	(+ x (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))))

series1.6s

Counts

4 → 12

Calls

4 calls:

506.0ms	(cbrt (* (- y x) (/ (- z t) (- a t))))
510.0ms	(cbrt (* (- y x) (/ (- z t) (- a t))))
525.0ms	(cbrt (* (- y x) (/ (- z t) (- a t))))
52.0ms	(+ x (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))))

simplify29.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5564	977

prune74.0ms

Filtered

60 candidates to 65 candidates (-8.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	65	11	76

Merged error: 3.8b

Counts

76 → 11

regimes617.0ms

Accuracy

29.2% (6.0b remaining)

Error of 9.3b against oracle of 3.4b and baseline of 11.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	98
1	45	98

end0.0ms

sample1.1s

Algorithm

intervals

Results

300.0ms	7816×	body	80	valid
189.0ms	266×	body	1280	valid
67.0ms	460×	body	640	valid
42.0ms	392×	body	320	valid
22.0ms	307×	body	160	valid
5.0ms	23×	body	2560	valid

Details

sample34.0ms

simplify111.0ms

prune12.0ms

localize12.0ms

rewrite32.0ms

series92.0ms

simplify54.0ms

prune158.0ms

localize10.0ms

rewrite44.0ms

series96.0ms

simplify43.0ms

prune153.0ms

localize13.0ms

rewrite48.0ms

series136.0ms

simplify36.0ms

prune150.0ms

localize16.0ms

rewrite35.0ms

series1.6s

simplify29.0ms

prune74.0ms

regimes617.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling