Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

415×

body

valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	80	4
3	254	4
4	641	4
5	1066	4
6	2373	4
7	3914	4
8	5001	4

prune2.0ms

Filtered

1 candidates to 0 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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

4.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

series82.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ x (* (- y z) (- t x)))
33.0ms	(* (- y z) (- t x))

simplify35.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	290	310
1	1174	292
2	5001	291

prune95.0ms

Filtered

55 candidates to 40 candidates (72.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	3	56

Merged error: 0.0b

Counts

56 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- y z) (sqrt (- t x)))
0.2b	(* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

42×	`sqrt-div`
33×	`flip3--` `flip--`
32×	`frac-times`
17×	`add-sqr-sqrt`
16×	`associate-r` `associate-*l/`
13×	`*-un-lft-identity`
11×	`sqrt-prod`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
6×	`associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`*-commutative` `add-log-exp` `unswap-sqr`

Counts

2 → 83

Calls

2 calls:

9.0ms	(* (- y z) (sqrt (- t x)))
14.0ms	(* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))

series113.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(* (- y z) (sqrt (- t x)))
36.0ms	(* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	407	865
1	1506	767
2	5001	759

prune197.0ms

Filtered

89 candidates to 59 candidates (66.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	88	4	92

Merged error: 0b

Counts

92 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))) (cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))))
0.6b	(cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))
0.6b	(cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))
0.6b	(cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

2272×	`frac-times`
2052×	`sqrt-div`
1539×	`flip3--` `flip--`
1482×	`cbrt-div`
824×	`associate-*l/`
482×	`associate-*r/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 864

Calls

4 calls:

33.0ms	(* (cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))) (cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))))
14.0ms	(cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))
14.0ms	(cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))
14.0ms	(cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))

series1.4s

Counts

4 → 12

Calls

4 calls:

622.0ms	(* (cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))) (cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))))
247.0ms	(cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))
239.0ms	(cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))
241.0ms	(cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))

simplify347.0ms

Algorithm

egg-herbie

Counts

876 → 876

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	1617	34594
1	2770	34454
2	5002	34359

prune2.4s

Filtered

876 candidates to 283 candidates (32.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	876	0	876
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	876	4	880

Merged error: 0b

Counts

880 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

1.1b	(+ (* z z) (* y z))
3.2b	(- (pow y 3) (pow z 3))
6.3b	(* (- (pow y 3) (pow z 3)) (- t x))
35.0b	(/ (* (- (pow y 3) (pow z 3)) (- t x)) (+ (* y y) (+ (* z z) (* y z))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
33×	`difference-of-squares`
30×	`*-un-lft-identity`
25×	`associate-l`
24×	`unpow-prod-down` `cube-prod`
16×	`sqr-pow`
13×	`flip3--` `flip--`
11×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
8×	`frac-times` `add-cube-cbrt` `associate-/l/` `add-log-exp`
6×	`pow1`
5×	`associate-r`
4×	`associate-r/` `associate-l/`
3×	`sub-neg` `times-frac` `associate-/r*`
2×	`difference-cubes` `cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+`
1×	`+-commutative` `distribute-rgt-out` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 131

Calls

4 calls:

4.0ms	(+ (* z z) (* y z))
13.0ms	(- (pow y 3) (pow z 3))
18.0ms	(* (- (pow y 3) (pow z 3)) (- t x))
22.0ms	(/ (* (- (pow y 3) (pow z 3)) (- t x)) (+ (* y y) (+ (* z z) (* y z))))

series221.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (* z z) (* y z))
50.0ms	(- (pow y 3) (pow z 3))
63.0ms	(* (- (pow y 3) (pow z 3)) (- t x))
80.0ms	(/ (* (- (pow y 3) (pow z 3)) (- t x)) (+ (* y y) (+ (* z z) (* y z))))

simplify90.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	595	1194
1	3098	1086
2	5002	1080

prune361.0ms

Filtered

143 candidates to 96 candidates (67.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	143	4	147

Merged error: 0b

Counts

147 → 4

regimes130.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample610.0ms

Algorithm

intervals

Results

310.0ms

12221×

body

valid