Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

351×

body

valid

simplify101.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	48	4
3	79	4
4	121	4
5	149	4
6	218	4
7	320	4
8	396	4
9	599	4
10	893	4
11	1278	4
12	2173	4
13	3754	4
14	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: 6.6b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y x) z) t))
0.0b	(* (- y x) z)
6.7b	(/ (* (- y x) z) t)

rewrite22.0ms

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-l` `add-log-exp`
4×	`associate-*l/`
3×	`times-frac` `associate-r` `associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `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 → 57

Calls

3 calls:

5.0ms	(+ x (/ (* (- y x) z) t))
8.0ms	(* (- y x) z)
6.0ms	(/ (* (- y x) z) t)

series149.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ x (/ (* (- y x) z) t))
32.0ms	(* (- y x) z)
62.0ms	(/ (* (- y x) z) t)

simplify51.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	283	314
1	1117	267
2	5001	267

prune147.0ms

Filtered

66 candidates to 45 candidates (68.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	59	7	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	7	67

Merged error: 0.0b

Counts

67 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
8.1b	(* (- y x) (/ z t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
9.0ms	(* (- y x) (/ z t))

series79.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ x (* (- y x) (/ z t)))
43.0ms	(* (- y x) (/ z t))

simplify35.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune104.0ms

Filtered

55 candidates to 37 candidates (67.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	56	6	62

Merged error: 0b

Counts

62 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
8.7b	(/ (- y x) (/ t z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

18.0ms	(+ x (/ (- y x) (/ t z)))
8.0ms	(/ (- y x) (/ t z))

series77.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (/ (- y x) (/ t z)))
44.0ms	(/ (- y x) (/ t z))

simplify55.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	609	959
1	2199	914
2	5001	913

prune251.0ms

Filtered

120 candidates to 85 candidates (70.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	120	6	126

Merged error: 0b

Counts

126 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

2.3b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
12.9b	(cbrt (/ z t))
12.9b	(cbrt (/ z t))
12.9b	(cbrt (/ z t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
15×	`cbrt-div`
9×	`pow1` `add-exp-log` `frac-times`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

12.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series293.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
61.0ms	(cbrt (/ z t))
60.0ms	(cbrt (/ z t))
58.0ms	(cbrt (/ z t))

simplify80.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	338	774
1	926	705
2	3350	693
3	5001	669

prune301.0ms

Filtered

110 candidates to 88 candidates (80.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	110	6	116

Merged error: 0b

Counts

116 → 6

regimes91.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample548.0ms

Algorithm

intervals

Results

283.0ms

10719×

body

valid