Details

sample39.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
12.0ms	256×	pre	80	true

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	3
1	39	3
2	65	3
3	70	3
4	70	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* a (+ (+ b c) d))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

37.0ms

(* a (+ (+ b c) d))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* a (+ (+ b c) d))

simplify98.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	146	114
1	738	100
2	4526	100
3	5001	100

prune47.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* a (+ b c))
0.0b	(+ (* a (+ b c)) (* a d))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

9.0ms	(* a (+ b c))
5.0ms	(+ (* a (+ b c)) (* a d))

series63.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* a (+ b c))
33.0ms	(+ (* a (+ b c)) (* a d))

simplify37.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	213	177
1	995	159
2	5002	156

prune78.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* a (+ b c))) (cbrt (* a (+ b c))))
0.7b	(cbrt (* a (+ b c)))
0.7b	(cbrt (* a (+ b c)))
0.7b	(cbrt (* a (+ b c)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

8.0ms	(* (cbrt (* a (+ b c))) (cbrt (* a (+ b c))))
7.0ms	(cbrt (* a (+ b c)))
3.0ms	(cbrt (* a (+ b c)))
3.0ms	(cbrt (* a (+ b c)))

series469.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (cbrt (* a (+ b c))) (cbrt (* a (+ b c))))
107.0ms	(cbrt (* a (+ b c)))
107.0ms	(cbrt (* a (+ b c)))
109.0ms	(cbrt (* a (+ b c)))

simplify73.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	254	585
1	799	531
2	2788	474
3	5001	464

prune228.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* b b) (* c c))
0.0b	(+ (/ (* a (- (* b b) (* c c))) (- b c)) (* a d))
0.7b	(* a (- (* b b) (* c c)))
12.4b	(/ (* a (- (* b b) (* c c))) (- b c))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

5.0ms	(- (* b b) (* c c))
21.0ms	(+ (/ (* a (- (* b b) (* c c))) (- b c)) (* a d))
10.0ms	(* a (- (* b b) (* c c)))
10.0ms	(/ (* a (- (* b b) (* c c))) (- b c))

series261.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (* b b) (* c c))
86.0ms	(+ (/ (* a (- (* b b) (* c c))) (- b c)) (* a d))
67.0ms	(* a (- (* b b) (* c c)))
77.0ms	(/ (* a (- (* b b) (* c c))) (- b c))

simplify61.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	392	651
1	1986	568
2	5001	568

prune178.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes136.0ms

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

sample940.0ms

Algorithm

intervals

Results

392.0ms	8000×	pre	80	true
351.0ms	8000×	body	80	valid