Details

Time bar (total: 4.1s)

sample28.0ms

Algorithm
intervals
Results
12.0ms379×body80valid

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0256
1695
21954
34614
49694
517604
624554
732584
834514
934514

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
6×diff-log
4×add-sqr-sqrt sum-log
3×pow1 add-exp-log add-cube-cbrt sub-neg *-un-lft-identity add-cbrt-cube
2×associate-+l- associate-+l+ flip3-- flip--
1×+-commutative associate--l- flip3-+ associate--l+ flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 45
Calls
3 calls:
139.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
27.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
7.0ms
(- (* d1 d2) (* d1 d3))

series112.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
32.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
32.0ms
(- (* d1 d2) (* d1 d3))

simplify37.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0256378
11060326
25001293

prune119.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
14×add-log-exp
8×flip3-- frac-add flip-- distribute-lft-out distribute-lft-out--
7×associate-*r*
6×add-sqr-sqrt associate-*r/
4×pow1 add-exp-log add-cube-cbrt diff-log sum-log add-cbrt-cube
3×associate-*l*
2×sub-neg associate-+l+ associate-+r+ flip3-+ flip-+
1×+-commutative distribute-rgt-in associate-+l- associate-+r- distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 58
Calls
2 calls:
36.0ms
(+ (- d2 d3) (- d4 d1))
107.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ (- d2 d3) (- d4 d1))
44.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

simplify52.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0391410
11841378
25002378

prune126.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) (cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))))
2.0b
(cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
2.0b
(cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
2.0b
(cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))

rewrite191.0ms

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:
139.0ms
(* (cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) (cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))))
16.0ms
(cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
16.0ms
(cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
17.0ms
(cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))

series448.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* (cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) (cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))))
105.0ms
(cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
105.0ms
(cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
105.0ms
(cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))

simplify100.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
02681395
19071299
237661182
350021171

prune298.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* d1 (- (- d2 d3) d4))
0.0b
(* d1 (+ (- d2 d3) d4))
0.3b
(* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4)))
22.9b
(/ (* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4))) (* d1 (- (- d2 d3) d4)))

rewrite496.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log add-cbrt-cube
34×associate-*r/
31×prod-exp cbrt-unprod
20×pow1
18×*-un-lft-identity
14×add-sqr-sqrt
12×associate-*r*
10×cbrt-undiv div-exp pow-prod-down
9×distribute-rgt-in distribute-lft-in
8×frac-times add-cube-cbrt flip3-- flip-- associate-/l/
7×flip3-+ associate-*l* flip-+
4×sub-neg associate-*l/ associate--l+ distribute-lft-out-- add-log-exp
3×*-commutative
2×associate-/r/ distribute-lft-out unswap-sqr
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l* difference-of-squares
Counts
4 → 132
Calls
4 calls:
74.0ms
(* d1 (- (- d2 d3) d4))
71.0ms
(* d1 (+ (- d2 d3) d4))
156.0ms
(* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4)))
188.0ms
(/ (* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4))) (* d1 (- (- d2 d3) d4)))

series203.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* d1 (- (- d2 d3) d4))
29.0ms
(* d1 (+ (- d2 d3) d4))
108.0ms
(* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4)))
30.0ms
(/ (* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4))) (* d1 (- (- d2 d3) d4)))

simplify158.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
06721485
14807872
25002872

prune268.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes92.0ms

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

sample785.0ms

Algorithm
intervals
Results
387.0ms12117×body80valid