Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

343×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	23	3
2	38	3
3	47	3
4	47	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 1.0 (* x y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

16.0ms

(* x (- 1.0 (* x y)))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* x (- 1.0 (* x y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	122	130
1	534	113
2	2890	113
3	5002	113

prune43.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))

rewrite40.0ms

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:

28.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
3.0ms	(cbrt (- 1.0 (* x y)))
3.0ms	(cbrt (- 1.0 (* x y)))
3.0ms	(cbrt (- 1.0 (* x y)))

series851.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
213.0ms	(cbrt (- 1.0 (* x y)))
210.0ms	(cbrt (- 1.0 (* x y)))
214.0ms	(cbrt (- 1.0 (* x y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	354	1088
1	1360	1031
2	5001	970

prune288.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))
0.2b	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))
0.2b	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-div`
19×	`flip3--` `flip--`
12×	`frac-times`
6×	`cbrt-prod` `associate-r/` `associate-l/`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

5.0ms	(cbrt (- 1.0 (* x y)))
12.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))
12.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))
12.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))

series845.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(cbrt (- 1.0 (* x y)))
206.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))
209.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))
210.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))

simplify42.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	338	1263
1	1120	1187
2	5001	1131

prune307.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* x y))
0.3b	(* (* x y) (* x y))
0.5b	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
7.0b	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
10×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`associate-r`
4×	`associate-r/` `associate-l*` `pow-sqr` `pow-prod-up`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `pow-plus` `div-exp` `associate-/r/` `*-commutative` `flip--` `flip-+` `associate-/l/`
1×	`+-commutative` `pow2` `frac-2neg` `swap-sqr` `clear-num` `sum-log` `div-inv` `associate-/l*` `difference-of-squares` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

7.0ms	(+ 1.0 (* x y))
26.0ms	(* (* x y) (* x y))
27.0ms	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
29.0ms	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ 1.0 (* x y))
34.0ms	(* (* x y) (* x y))
68.0ms	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
76.0ms	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	397	702
1	2174	578
2	5001	578

prune171.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes66.0ms

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	8	3
1	8	3

end0.0ms

sample399.0ms

Algorithm

intervals

Results

182.0ms

10689×

body

valid