Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

346×

body

valid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	14	4
1	27	3
2	62	3
3	112	3
4	170	3
5	213	3
6	260	3
7	450	3
8	845	3
9	1532	3
10	3138	3
11	4587	3
12	5001	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
8.0b	(* (- y x) (/ z t))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-cube-cbrt`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
3×	`fma-def`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 56

Calls

2 calls:

7.0ms	(+ x (* (- y x) (/ z t)))
30.0ms	(* (- y x) (/ z t))

series73.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (* (- y x) (/ z t)))
38.0ms	(* (- y x) (/ z t))

simplify39.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	306	327
1	1283	301
2	5002	286

prune135.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.1b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-sqr-sqrt` `add-cbrt-cube`
11×	`*-un-lft-identity`
9×	`cbrt-prod` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r` `associate-l`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `flip3--` `times-frac` `associate-*l/` `flip--` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 77

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
54.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series831.0ms

Counts

4 → 12

Calls

4 calls:

377.0ms	(cbrt z)
173.0ms	(cbrt z)
166.0ms	(cbrt z)
115.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify58.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	398	630
1	1701	502
2	5003	463

prune270.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.9b	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
58.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series597.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt t)
175.0ms	(cbrt t)
176.0ms	(cbrt t)
68.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify62.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	459	851
1	2238	696
2	5001	661

prune321.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
1.5b	(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
35×	`add-cbrt-cube`
32×	`prod-exp` `cbrt-unprod`
22×	`cbrt-undiv` `div-exp`
18×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cube-cbrt` `associate-l`
9×	`pow1`
6×	`cbrt-div` `times-frac`
5×	`frac-times` `associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `pow-prod-down` `associate-*l/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`associate-r` `*-commutative` `div-inv`

Counts

4 → 111

Calls

4 calls:

4.0ms	(cbrt (- y x))
5.0ms	(cbrt (- y x))
4.0ms	(cbrt (- y x))
100.0ms	(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

series488.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (- y x))
135.0ms	(cbrt (- y x))
142.0ms	(cbrt (- y x))
69.0ms	(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

simplify64.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	556	1533
1	2094	1165
2	5002	1008

prune315.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes196.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	14
1	17	14

end0.0ms

sample629.0ms

Algorithm

intervals

Results

265.0ms

10733×

body

valid