Details

sample26.0ms

Algorithm

intervals

Results

9.0ms

356×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	4
1	35	4
2	51	4
3	71	4
4	85	4
5	89	4
6	89	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(- (* x y) (* z t))
7.7b	(/ (- (* x y) (* z t)) a)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `clear-num` `div-inv`

Counts

2 → 48

Calls

2 calls:

8.0ms	(- (* x y) (* z t))
18.0ms	(/ (- (* x y) (* z t)) a)

series80.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(- (* x y) (* z t))
45.0ms	(/ (- (* x y) (* z t)) a)

simplify85.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	218	336
1	769	309
2	2931	308
3	5001	307

prune150.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(- (* x y) (* z t))
7.8b	(* (- (* x y) (* z t)) (/ 1 a))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
11×	`add-exp-log` `*-un-lft-identity` `times-frac`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`pow1` `prod-exp` `add-log-exp`
3×	`flip3--` `associate-l` `flip--` `unswap-sqr`
2×	`expm1-log1p-u` `frac-times` `div-exp` `associate-*l/` `cbrt-unprod` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `rec-exp` `fma-neg` `diff-log` `1-exp` `associate-r/` `prod-diff` `pow-prod-down` `un-div-inv` `-commutative` `div-inv`

Counts

2 → 58

Calls

2 calls:

8.0ms	(- (* x y) (* z t))
35.0ms	(* (- (* x y) (* z t)) (/ 1 a))

series85.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- (* x y) (* z t))
48.0ms	(* (- (* x y) (* z t)) (/ 1 a))

simplify43.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	292	413
1	1156	361
2	5001	342

prune156.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 7.9b

localize13.0ms

Local error

Found 4 expressions with local error:

7.8b	(* (* (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))) (cbrt (- (* x y) (* z t)))) (/ 1 a))
8.8b	(cbrt (- (* x y) (* z t)))
8.8b	(cbrt (- (* x y) (* z t)))
8.8b	(cbrt (- (* x y) (* z t)))

rewrite312.0ms

Algorithm

rewrite-expression-head

Rules

114×	`cbrt-div`
82×	`frac-times`
57×	`flip3--` `flip--`
54×	`associate-*l/`
43×	`add-exp-log`
24×	`prod-exp`
17×	`associate-*r/` `add-cbrt-cube`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `associate-r`
12×	`cbrt-unprod`
9×	`cbrt-prod` `times-frac`
6×	`div-exp` `pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `pow1/3` `1-exp`
1×	`associate-l` `un-div-inv` `*-commutative` `div-inv`

Counts

4 → 144

Calls

4 calls:

286.0ms	(* (* (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))) (cbrt (- (* x y) (* z t)))) (/ 1 a))
5.0ms	(cbrt (- (* x y) (* z t)))
5.0ms	(cbrt (- (* x y) (* z t)))
6.0ms	(cbrt (- (* x y) (* z t)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))) (cbrt (- (* x y) (* z t)))) (/ 1 a))
108.0ms	(cbrt (- (* x y) (* z t)))
115.0ms	(cbrt (- (* x y) (* z t)))
110.0ms	(cbrt (- (* x y) (* z t)))

simplify80.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	771	2898
1	2759	2429
2	5002	2288

prune411.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 7.9b

localize11.0ms

Local error

Found 4 expressions with local error:

6.2b	(cbrt (/ (- (* x y) (* z t)) a))
7.7b	(/ (- (* x y) (* z t)) a)
7.7b	(/ (- (* x y) (* z t)) a)
7.7b	(/ (- (* x y) (* z t)) a)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
6×	`associate-/l/`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--`
1×	`cbrt-div` `pow1/3`

Counts

4 → 120

Calls

4 calls:

5.0ms	(cbrt (/ (- (* x y) (* z t)) a))
18.0ms	(/ (- (* x y) (* z t)) a)
18.0ms	(/ (- (* x y) (* z t)) a)
22.0ms	(/ (- (* x y) (* z t)) a)

series514.0ms

Counts

4 → 12

Calls

4 calls:

372.0ms	(cbrt (/ (- (* x y) (* z t)) a))
50.0ms	(/ (- (* x y) (* z t)) a)
44.0ms	(/ (- (* x y) (* z t)) a)
48.0ms	(/ (- (* x y) (* z t)) a)

simplify97.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	300	1022
1	932	957
2	3383	950
3	5002	943

prune408.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 7.9b

regimes366.0ms

Accuracy

0% (0.3b remaining)

Error of 7.7b against oracle of 7.4b and baseline of 7.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample737.0ms

Algorithm

intervals

Results

290.0ms

11237×

body

valid