Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

336×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x y) (* z t))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

8.0ms

(+ (* x y) (* z t))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(+ (* x y) (* z t))

simplify123.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	100	74
1	363	67
2	1051	67
3	2931	67
4	5001	67

prune36.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
0.9b	(cbrt (+ (* x y) (* z t)))
0.9b	(cbrt (+ (* x y) (* z t)))
0.9b	(cbrt (+ (* x y) (* z t)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

42.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (+ (* x y) (* z t)))

series444.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
104.0ms	(cbrt (+ (* x y) (* z t)))
105.0ms	(cbrt (+ (* x y) (* z t)))
105.0ms	(cbrt (+ (* x y) (* z t)))

simplify97.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	314	1055
1	1035	988
2	3734	912
3	5002	903

prune263.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x y) (* x y))
0.3b	(* (* z t) (* z t))
1.9b	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
22.9b	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`pow-plus` `associate-/l*`
3×	`flip3--` `associate-/r*` `flip--`
2×	`pow2` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 117

Calls

4 calls:

27.0ms	(* (* x y) (* x y))
26.0ms	(* (* z t) (* z t))
30.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
77.0ms	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

series253.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* x y) (* x y))
30.0ms	(* (* z t) (* z t))
112.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
81.0ms	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

simplify81.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	413	954
1	2306	805
2	5002	788

prune201.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x y) (* x y))
1.9b	(- (* (* x y) (* x y)) (* z (* t (* z t))))
4.5b	(* z (* t (* z t)))
22.9b	(/ (- (* (* x y) (* x y)) (* z (* t (* z t)))) (- (* x y) (* z t)))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
27×	`add-exp-log` `add-cbrt-cube`
23×	`pow-prod-down`
14×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-log-exp`
4×	`associate-l` `pow-sqr` `pow-prod-up`
3×	`flip3--` `associate-/r` `flip--` `associate-/l`
2×	`pow-plus` `associate-r` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `clear-num` `div-inv`

Counts

4 → 99

Calls

4 calls:

27.0ms	(* (* x y) (* x y))
30.0ms	(- (* (* x y) (* x y)) (* z (* t (* z t))))
42.0ms	(* z (* t (* z t)))
77.0ms	(/ (- (* (* x y) (* x y)) (* z (* t (* z t)))) (- (* x y) (* z t)))

series248.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x y) (* x y))
103.0ms	(- (* (* x y) (* x y)) (* z (* t (* z t))))
31.0ms	(* z (* t (* z t)))
82.0ms	(/ (- (* (* x y) (* x y)) (* z (* t (* z t)))) (- (* x y) (* z t)))

simplify77.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	424	933
1	2311	810
2	5001	796

prune187.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes144.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample559.0ms

Algorithm

intervals

Results

206.0ms

10369×

body

valid