Details

sample29.0ms

Algorithm

intervals

Results

15.0ms

332×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	8
1	47	8
2	96	8
3	165	8
4	241	8
5	390	8
6	1193	8
7	5002	8

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: 9.6b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
9.6b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`pow1` `cbrt-undiv` `flip3-+` `div-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `frac-2neg` `frac-add` `prod-exp` `clear-num` `associate-/r*` `sum-log` `cbrt-unprod` `div-inv` `distribute-lft-out`

Counts

2 → 36

Calls

2 calls:

13.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series107.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
59.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify34.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	283	409
1	1039	362
2	5001	359

prune103.0ms

Filtered

42 candidates to 32 candidates (76.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	36	6	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	7	43

Merged error: 0b

Counts

43 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
0.0b	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
0.2b	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

10.0ms	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
16.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
12.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series124.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
55.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
39.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	499	648
1	2111	584
2	5001	567

prune185.0ms

Filtered

85 candidates to 62 candidates (72.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	86	6	92

Merged error: 0b

Counts

92 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1 t)) (cbrt (/ 1 t)))
0.6b	(cbrt (/ 1 t))
0.6b	(cbrt (/ 1 t))
0.6b	(cbrt (/ 1 t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

119×	`cbrt-prod`
97×	`add-sqr-sqrt`
79×	`times-frac`
67×	`*-un-lft-identity`
57×	`add-cube-cbrt`
18×	`swap-sqr`
16×	`associate-r` `associate-l` `unswap-sqr`
11×	`pow1`
9×	`pow1/3` `div-inv`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 153

Calls

4 calls:

16.0ms	(* (cbrt (/ 1 t)) (cbrt (/ 1 t)))
2.0ms	(cbrt (/ 1 t))
3.0ms	(cbrt (/ 1 t))
3.0ms	(cbrt (/ 1 t))

series728.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt (/ 1 t)) (cbrt (/ 1 t)))
179.0ms	(cbrt (/ 1 t))
175.0ms	(cbrt (/ 1 t))
176.0ms	(cbrt (/ 1 t))

simplify44.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	219	1142
1	897	1034
2	5002	874

prune352.0ms

Filtered

165 candidates to 96 candidates (58.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	165	6	171

Merged error: 0b

Counts

171 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))) (cbrt (+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))))
0.6b	(cbrt (+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)))
0.6b	(cbrt (+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)))
0.6b	(cbrt (+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div`
36×	`cbrt-prod`
35×	`*-un-lft-identity`
26×	`frac-add`
23×	`add-sqr-sqrt`
16×	`frac-times`
15×	`add-cube-cbrt`
13×	`flip3--` `flip3-+` `flip--` `flip-+`
11×	`pow1`
9×	`pow1/3` `swap-sqr` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 117

Calls

4 calls:

42.0ms	(* (cbrt (+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))) (cbrt (+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))))
17.0ms	(cbrt (+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)))
17.0ms	(cbrt (+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)))
17.0ms	(cbrt (+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)))

series1.4s

Counts

4 → 12

Calls

4 calls:

559.0ms	(* (cbrt (+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))) (cbrt (+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))))
269.0ms	(cbrt (+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)))
268.0ms	(cbrt (+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)))
269.0ms	(cbrt (+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)))

simplify65.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	385	3143
1	1318	3011
2	5001	2829

prune400.0ms

Filtered

129 candidates to 93 candidates (72.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	129	6	135

Merged error: 0b

Counts

135 → 6

regimes200.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample790.0ms

Algorithm

intervals

Results

507.0ms

10342×

body

valid