Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

347×

body

valid

simplify110.0ms

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: 6.1b

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)
6.1b	(/ (* (- y x) z) 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-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:

4.0ms	(+ x (/ (* (- y x) z) t))
6.0ms	(* (- y x) z)
7.0ms	(/ (* (- y x) z) t)

series114.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ x (/ (* (- y x) z) t))
28.0ms	(* (- y x) z)
46.0ms	(/ (* (- y x) z) t)

simplify36.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (8.0ms)

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

prune111.0ms

Filtered

66 candidates to 45 candidates (68.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	5	67

Merged error: 0.0b

Counts

67 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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))

series79.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (/ (- y x) (/ t z)))
45.0ms	(/ (- 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

prune215.0ms

Filtered

120 candidates to 85 candidates (70.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	119	6	125

Merged error: 0b

Counts

125 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.7b	(* (- y x) (/ z t))

rewrite21.0ms

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:

5.0ms	(+ x (* (- y x) (/ z t)))
13.0ms	(* (- y x) (/ z t))

series84.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ x (* (- y x) (/ z t)))
46.0ms	(* (- y x) (/ z t))

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (31.0ms)

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

prune85.0ms

Filtered

55 candidates to 37 candidates (67.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	55	6	61

Merged error: 0b

Counts

61 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.2b	(* (/ (cbrt (- y x)) (/ (* (cbrt t) (cbrt t)) (cbrt (- y x)))) (/ (cbrt (- y x)) (/ (cbrt t) z)))
2.5b	(/ (cbrt (- y x)) (/ (cbrt t) z))

rewrite325.0ms

Algorithm

rewrite-expression-head

Rules

974×	`times-frac`
715×	`add-sqr-sqrt`
564×	`cbrt-prod`
505×	`*-un-lft-identity`
371×	`add-cube-cbrt`
181×	`associate-r`
117×	`associate-l`
67×	`distribute-lft-out--` `difference-of-squares`
63×	`add-exp-log`
49×	`unswap-sqr`
30×	`cbrt-undiv` `div-exp`
28×	`div-inv`
27×	`add-cbrt-cube`
22×	`associate-/r*`
19×	`associate-/r/`
18×	`cbrt-div`
15×	`prod-exp` `cbrt-unprod`
9×	`flip3--` `flip--`
8×	`associate-/l*`
6×	`pow1`
4×	`add-log-exp`
2×	`pow1/3` `associate-/l/`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 628

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
254.0ms	(* (/ (cbrt (- y x)) (/ (* (cbrt t) (cbrt t)) (cbrt (- y x)))) (/ (cbrt (- y x)) (/ (cbrt t) z)))
12.0ms	(/ (cbrt (- y x)) (/ (cbrt t) z))

series1.1s

Counts

4 → 12

Calls

4 calls:

388.0ms	(cbrt t)
212.0ms	(cbrt t)
100.0ms	(* (/ (cbrt (- y x)) (/ (* (cbrt t) (cbrt t)) (cbrt (- y x)))) (/ (cbrt (- y x)) (/ (cbrt t) z)))
397.0ms	(/ (cbrt (- y x)) (/ (cbrt t) z))

simplify137.0ms

Algorithm

egg-herbie

Counts

640 → 640

Iterations

Useful iterations: 1 (49.0ms)

Iter	Nodes	Cost
0	2458	10505
1	5001	10306

prune2.0s

Filtered

640 candidates to 528 candidates (82.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	640	0	640
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	640	6	646

Merged error: 0b

Counts

646 → 6

regimes132.0ms

Accuracy

18.2% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	20
1	25	20

end0.0ms

sample586.0ms

Algorithm

intervals

Results

321.0ms

10685×

body

valid