Details

sample23.0ms

Algorithm

intervals

Results

13.0ms

311×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	24	3
2	46	3
3	71	3
4	79	3
5	79	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize5.0ms

Local error

Found 1 expressions with local error:

2.5b	(* x (- 1.0 (* y z)))

rewrite8.0ms

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:

7.0ms

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

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify57.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	122	127
1	493	111
2	1989	111
3	5001	111

prune60.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* y z))))
4.9b	(* x (- (* y z)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `distribute-rgt-neg-out`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* x (- (* y z))))
5.0ms	(* x (- (* y z)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ (* x 1.0) (* x (- (* y z))))
27.0ms	(* x (- (* y z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	181	204
1	1018	178
2	5001	174

prune90.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

4.9b	(* x (- (* y z)))
12.9b	(cbrt (* x (- (* y z))))
12.9b	(cbrt (* x (- (* y z))))
12.9b	(cbrt (* x (- (* y z))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `add-cbrt-cube`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `*-commutative` `distribute-rgt-neg-out` `cbrt-unprod` `unswap-sqr`

Counts

4 → 49

Calls

4 calls:

4.0ms	(* x (- (* y z)))
2.0ms	(cbrt (* x (- (* y z))))
2.0ms	(cbrt (* x (- (* y z))))
2.0ms	(cbrt (* x (- (* y z))))

series332.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* x (- (* y z)))
106.0ms	(cbrt (* x (- (* y z))))
100.0ms	(cbrt (* x (- (* y z))))
100.0ms	(cbrt (* x (- (* y z))))

simplify149.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	187	354
1	787	317
2	4602	308
3	5002	308

prune211.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

11.0b	(cbrt (- (* y z)))
12.9b	(cbrt (* x (- (* y z))))
12.9b	(cbrt (* x (- (* y z))))
12.9b	(cbrt (* (* x (* (cbrt (- (* y z))) (cbrt (- (* y z))))) (cbrt (- (* y z)))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 41

Calls

4 calls:

1.0ms	(cbrt (- (* y z)))
2.0ms	(cbrt (* x (- (* y z))))
2.0ms	(cbrt (* x (- (* y z))))
45.0ms	(cbrt (* (* x (* (cbrt (- (* y z))) (cbrt (- (* y z))))) (cbrt (- (* y z)))))

series410.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(cbrt (- (* y z)))
100.0ms	(cbrt (* x (- (* y z))))
98.0ms	(cbrt (* x (- (* y z))))
117.0ms	(cbrt (* (* x (* (cbrt (- (* y z))) (cbrt (- (* y z))))) (cbrt (- (* y z)))))

simplify36.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	187	455
1	424	403
2	1312	311
3	5002	296

prune218.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes134.0ms

Accuracy

42% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 3.4b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	11
1	43	11
2	47	11
3	47	11

end0.0ms

sample621.0ms

Algorithm

intervals

Results

417.0ms

9607×

body

valid