Details

Time bar (total: 2.4s)

sample26.0ms

Algorithm
intervals
Results
12.0ms400×body80valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0256
1695
21954
34614
49694
517604
624554
732584
834514
934514

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ (- d2 d3) (- d4 d1)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
7×associate-*r*
6×associate-*r/
5×add-sqr-sqrt
4×flip3-- frac-add flip-- distribute-lft-out distribute-lft-out--
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 30
Calls
1 calls:
56.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

simplify47.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0298214
11486191
25003191

prune69.0ms

Filtered
33 candidates to 22 candidates (66.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* d1 (- d4 d1))
0.0b
(* d1 (- d2 d3))
0.0b
(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×associate-*r/
11×*-un-lft-identity
10×associate-*r*
8×distribute-rgt-in sub-neg distribute-lft-in
7×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
6×flip3-- associate-*l* flip--
5×add-log-exp
4×associate-+l+ associate-+r+ frac-add
2×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 76
Calls
3 calls:
9.0ms
(* d1 (- d4 d1))
10.0ms
(* d1 (- d2 d3))
9.0ms
(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))

series129.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* d1 (- d4 d1))
39.0ms
(* d1 (- d2 d3))
54.0ms
(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))

simplify63.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0407422
12021395
25001395

prune163.0ms

Filtered
85 candidates to 53 candidates (62.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* d1 (- d2 d3)) (/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1)))))
0.3b
(- (pow d4 3) (pow d1 3))
4.0b
(* d1 (- (pow d4 3) (pow d1 3)))
33.6b
(/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
32×difference-of-squares
28×*-un-lft-identity
25×associate-*r*
24×unpow-prod-down cube-prod
16×sqr-pow
11×add-exp-log add-cbrt-cube
10×distribute-lft-out--
8×add-cube-cbrt add-log-exp
6×pow1 associate-*r/
5×sub-neg
4×distribute-rgt-in associate-+l+ flip3-- distribute-lft-in flip--
3×times-frac associate-*l* associate-/r*
2×difference-cubes cbrt-undiv flip3-+ div-exp frac-add prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/
1×+-commutative frac-2neg diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 122
Calls
4 calls:
29.0ms
(+ (* d1 (- d2 d3)) (/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1)))))
15.0ms
(- (pow d4 3) (pow d1 3))
53.0ms
(* d1 (- (pow d4 3) (pow d1 3)))
30.0ms
(/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))

series346.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(+ (* d1 (- d2 d3)) (/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1)))))
52.0ms
(- (pow d4 3) (pow d1 3))
65.0ms
(* d1 (- (pow d4 3) (pow d1 3)))
109.0ms
(/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))

simplify100.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
06101194
130921077
250011070

prune363.0ms

Filtered
134 candidates to 84 candidates (62.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes75.0ms

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
0104
1104

end0.0ms

sample659.0ms

Algorithm
intervals
Results
379.0ms11902×body80valid