Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

271×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	40	5
2	84	5
3	200	5
4	463	5
5	708	5
6	1261	5
7	1854	5
8	2446	5
9	2811	5
10	2813	5
11	2813	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
6.7b	(/ x (* (- y z) (- y t)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
5×	`associate-r` `associate-l`
4×	`pow1` `associate-r/` `associate-l/`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

2 → 85

Calls

2 calls:

40.0ms	(* (- y z) (- y t))
17.0ms	(/ x (* (- y z) (- y t)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* (- y z) (- y t))
63.0ms	(/ x (* (- y z) (- y t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	390	703
1	1853	534
2	5003	534

prune192.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.0b	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
42×	`times-frac`
40×	`*-un-lft-identity`
36×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
11×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`flip3--` `flip--` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 118

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
73.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

series629.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt x)
177.0ms	(cbrt x)
177.0ms	(cbrt x)
87.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

simplify68.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	540	1075
1	2689	884
2	5001	825

prune387.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
3.3b	(* (* (cbrt x) (cbrt x)) (/ (/ (cbrt x) (- y z)) (- y t)))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

335×	`times-frac`
270×	`add-sqr-sqrt`
261×	`*-un-lft-identity`
186×	`associate-r`
129×	`add-cube-cbrt`
85×	`cbrt-prod`
66×	`distribute-lft-out--` `difference-of-squares`
25×	`add-exp-log`
17×	`add-cbrt-cube`
12×	`associate-/r/`
9×	`pow1` `prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow1/3` `pow-prod-down`
1×	`associate-r/` `associate-l` `-commutative`

Counts

4 → 255

Calls

4 calls:

1.0ms	(cbrt x)
3.0ms	(cbrt x)
1.0ms	(cbrt x)
114.0ms	(* (* (cbrt x) (cbrt x)) (/ (/ (cbrt x) (- y z)) (- y t)))

series826.0ms

Counts

4 → 12

Calls

4 calls:

382.0ms	(cbrt x)
178.0ms	(cbrt x)
176.0ms	(cbrt x)
89.0ms	(* (* (cbrt x) (cbrt x)) (/ (/ (cbrt x) (- y z)) (- y t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

267 → 267

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1305	2641
1	5001	2192

prune779.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

6.7b	(/ x (* (- y z) (- y t)))
23.4b	(cbrt (/ x (* (- y z) (- y t))))
23.4b	(cbrt (/ x (* (- y z) (- y t))))
23.4b	(cbrt (/ x (* (- y z) (- y t))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
32×	`associate-/r/`
24×	`flip3--` `flip--`
16×	`frac-times`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-r/` `associate-l/`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

16.0ms	(/ x (* (- y z) (- y t)))
13.0ms	(cbrt (/ x (* (- y z) (- y t))))
16.0ms	(cbrt (/ x (* (- y z) (- y t))))
13.0ms	(cbrt (/ x (* (- y z) (- y t))))

series585.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ x (* (- y z) (- y t)))
176.0ms	(cbrt (/ x (* (- y z) (- y t))))
176.0ms	(cbrt (/ x (* (- y z) (- y t))))
171.0ms	(cbrt (/ x (* (- y z) (- y t))))

simplify38.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	334	1041
1	1113	981
2	5001	975

prune465.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	10
1	14	10

end0.0ms

sample536.0ms

Algorithm

intervals

Results

232.0ms

8470×

body

valid