Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

345×

body

valid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	4
1	32	4
2	69	4
3	148	4
4	238	4
5	364	4
6	518	4
7	638	4
8	740	4
9	813	4
10	842	4
11	842	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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(- x (/ (* y (- z t)) a))
6.6b	(/ (* y (- z t)) a)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`sub-neg` `flip3--` `times-frac` `associate-l` `associate-/r*` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

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

series133.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* y (- z t))
46.0ms	(- x (/ (* y (- z t)) a))
50.0ms	(/ (* y (- z t)) a)

simplify39.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	291	345
1	1204	306
2	5001	306

prune131.0ms

Filtered

72 candidates to 47 candidates (65.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	6	73

Merged error: 0b

Counts

73 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
6.9b	(/ y (/ a (- z t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
112×	`add-sqr-sqrt`
105×	`*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
19×	`difference-of-squares`
17×	`distribute-lft-out--`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `diff-log`

Counts

3 → 155

Calls

3 calls:

25.0ms	(- x (/ y (/ a (- z t))))
5.0ms	(/ a (- z t))
9.0ms	(/ y (/ a (- z t)))

series127.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- x (/ y (/ a (- z t))))
31.0ms	(/ a (- z t))
51.0ms	(/ y (/ a (- z t)))

simplify64.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	551	1200
1	2371	1160
2	5001	1157

prune345.0ms

Filtered

164 candidates to 122 candidates (74.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	165	5	170

Merged error: 0b

Counts

170 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (* (/ y a) (- z t)))
6.1b	(* (/ y a) (- z t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

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

series104.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- x (* (/ y a) (- z t)))
57.0ms	(* (/ y a) (- z t))

simplify39.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	316	343
1	1221	313
2	5001	305

prune109.0ms

Filtered

64 candidates to 41 candidates (64.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	64	5	69

Merged error: 0b

Counts

69 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

6.6b	(/ (* y (- z t)) a)
7.2b	(cbrt (/ (* y (- z t)) a))
7.2b	(cbrt (/ (* y (- z t)) a))
7.2b	(cbrt (/ (* y (- z t)) a))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r*`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/l/`
1×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `associate-/l*`

Counts

4 → 71

Calls

4 calls:

7.0ms	(/ (* y (- z t)) a)
5.0ms	(cbrt (/ (* y (- z t)) a))
5.0ms	(cbrt (/ (* y (- z t)) a))
5.0ms	(cbrt (/ (* y (- z t)) a))

series366.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (* y (- z t)) a)
109.0ms	(cbrt (/ (* y (- z t)) a))
104.0ms	(cbrt (/ (* y (- z t)) a))
107.0ms	(cbrt (/ (* y (- z t)) a))

simplify95.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	248	551
1	904	503
2	4206	491
3	5002	479

prune233.0ms

Filtered

83 candidates to 69 candidates (83.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	83	5	88

Merged error: 0b

Counts

88 → 5

regimes302.0ms

Accuracy

84.5% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	16
1	24	16

end0.0ms

sample670.0ms

Algorithm

intervals

Results

350.0ms

10657×

body

valid