Details

sample39.0ms

Algorithm

intervals

Results

26.0ms

317×

body

valid

simplify53.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.1b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite25.0ms

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:

15.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series108.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
62.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify41.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (35.0ms)

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

prune122.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-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+` `flip3-+` `associate-r` `prod-exp` `flip-+`
3×	`sum-log` `distribute-lft-out` `unswap-sqr`
2×	`+-commutative` `distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-*r/` `div-exp` `frac-add` `associate--l+` `cbrt-unprod`
1×	`cbrt-undiv` `associate-+r-` `sub-neg` `rec-exp` `flip3--` `diff-log` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

3 → 74

Calls

3 calls:

40.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
9.0ms	(+ (/ 2.0 z) 2.0)
33.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series120.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
31.0ms	(+ (/ 2.0 z) 2.0)
37.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	499	587
1	2115	523
2	5001	506

prune188.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite28.0ms

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:

17.0ms	(* (cbrt (/ 1 t)) (cbrt (/ 1 t)))
1.0ms	(cbrt (/ 1 t))
1.0ms	(cbrt (/ 1 t))
2.0ms	(cbrt (/ 1 t))

series687.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt (/ 1 t)) (cbrt (/ 1 t)))
166.0ms	(cbrt (/ 1 t))
160.0ms	(cbrt (/ 1 t))
169.0ms	(cbrt (/ 1 t))

simplify42.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (31.0ms)

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

prune393.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

93×	`add-sqr-sqrt`
74×	`cbrt-prod`
71×	`times-frac`
53×	`*-un-lft-identity`
40×	`add-cube-cbrt`
22×	`associate-r`
20×	`unswap-sqr`
16×	`associate-l`
13×	`add-exp-log`
6×	`pow1` `add-cbrt-cube`
4×	`cbrt-div` `prod-exp` `div-inv` `add-log-exp`
3×	`pow1/3`
2×	`div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative`

Counts

4 → 132

Calls

4 calls:

23.0ms	(* (cbrt (/ 1 t)) (/ 1 (cbrt t)))
0.0ms	(cbrt t)
1.0ms	(cbrt (/ 1 t))
2.0ms	(cbrt (/ 1 t))

series714.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (cbrt (/ 1 t)) (/ 1 (cbrt t)))
184.0ms	(cbrt t)
175.0ms	(cbrt (/ 1 t))
179.0ms	(cbrt (/ 1 t))

simplify54.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	394	963
1	1622	850
2	5001	762

prune461.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

879.0ms

10272×

body

valid