Details

Time bar (total: 19.9s)

sample31.0ms

Algorithm
intervals
Results
10.0ms256×pre80true
9.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0183
1393
2653
3703
4703

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))

rewrite43.0ms

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:
43.0ms
(* a (+ (+ b c) d))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(* a (+ (+ b c) d))

simplify97.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0146114
1738100
24526100
35001100

prune47.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (sqrt a) (+ (+ b c) d))
0.3b
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity associate-*l*
11×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
7×add-cube-cbrt sqrt-prod
6×associate-*r/ associate-*r*
5×distribute-rgt-in distribute-lft-in
4×pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×flip3-+ *-commutative flip-+ add-log-exp unswap-sqr
Counts
2 → 55
Calls
2 calls:
41.0ms
(* (sqrt a) (+ (+ b c) d))
42.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series148.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(* (sqrt a) (+ (+ b c) d))
54.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify38.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0257353
11271295
25003295

prune106.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (sqrt a) (* (sqrt a) (+ (+ b c) d)))) (cbrt (* (sqrt a) (* (sqrt a) (+ (+ b c) d)))))
0.6b
(cbrt (* (sqrt a) (* (sqrt a) (+ (+ b c) d))))
0.6b
(cbrt (* (sqrt a) (* (sqrt a) (+ (+ b c) d))))
0.6b
(cbrt (* (sqrt a) (* (sqrt a) (+ (+ b c) d))))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
38×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:
23.0ms
(* (cbrt (* (sqrt a) (* (sqrt a) (+ (+ b c) d)))) (cbrt (* (sqrt a) (* (sqrt a) (+ (+ b c) d)))))
35.0ms
(cbrt (* (sqrt a) (* (sqrt a) (+ (+ b c) d))))
36.0ms
(cbrt (* (sqrt a) (* (sqrt a) (+ (+ b c) d))))
35.0ms
(cbrt (* (sqrt a) (* (sqrt a) (+ (+ b c) d))))

series17.0s

Counts
4 → 12
Calls
4 calls:
13.7s
(* (cbrt (* (sqrt a) (* (sqrt a) (+ (+ b c) d)))) (cbrt (* (sqrt a) (* (sqrt a) (+ (+ b c) d)))))
1.1s
(cbrt (* (sqrt a) (* (sqrt a) (+ (+ b c) d))))
1.1s
(cbrt (* (sqrt a) (* (sqrt a) (+ (+ b c) d))))
1.1s
(cbrt (* (sqrt a) (* (sqrt a) (+ (+ b c) d))))

simplify125.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
02731058
1978937
24918849
35001849

prune261.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (+ b c) (+ b c)) (* d d))
0.0b
(* (+ b c) (+ b c))
0.6b
(* a (- (* (+ b c) (+ b c)) (* d d)))
5.2b
(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
8×distribute-rgt-in distribute-lft-in associate-*r* distribute-lft-out
7×associate-*l*
6×flip3-+ times-frac associate-*r/ swap-sqr associate--l+ associate-/r* flip-+ add-log-exp
4×frac-times flip3-- flip-- distribute-lft-out-- difference-of-squares
3×sub-neg prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ unswap-sqr
1×pow2 frac-2neg pow-plus diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 115
Calls
4 calls:
9.0ms
(- (* (+ b c) (+ b c)) (* d d))
19.0ms
(* (+ b c) (+ b c))
33.0ms
(* a (- (* (+ b c) (+ b c)) (* d d)))
34.0ms
(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

series312.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(- (* (+ b c) (+ b c)) (* d d))
14.0ms
(* (+ b c) (+ b c))
129.0ms
(* a (- (* (+ b c) (+ b c)) (* d d)))
105.0ms
(/ (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d))

simplify81.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0522976
12747841
25001837

prune227.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes137.0ms

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)

IterNodesCost
0103
1103

end0.0ms

sample825.0ms

Algorithm
intervals
Results
327.0ms8000×pre80true
294.0ms8000×body80valid