Details

Time bar (total: 4.9s)

sample27.0ms

Algorithm
intervals
Results
14.0ms371×body80valid

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

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

rewrite75.0ms

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:
60.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
2.0ms
(- (* d1 d2) (* d1 d3))
11.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series131.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
35.0ms
(- (* d1 d2) (* d1 d3))
41.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify37.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0256378
11060326
25001293

prune118.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
6×add-sqr-sqrt
5×associate-*r*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/ associate--l+ distribute-lft-out distribute-lft-out--
1×sub-neg flip3-- flip3-+ diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ unswap-sqr
Counts
2 → 39
Calls
2 calls:
12.0ms
(- (* d1 (+ (- d2 d3) d4)) (* d1 d1))
38.0ms
(* d1 (+ (- d2 d3) d4))

series88.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(- (* d1 (+ (- d2 d3) d4)) (* d1 d1))
35.0ms
(* d1 (+ (- d2 d3) d4))

simplify37.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0221239
11027205
25001202

prune94.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (- d2 d3) d4)) (cbrt (+ (- d2 d3) d4)))
0.6b
(cbrt (+ (- d2 d3) d4))
0.6b
(cbrt (+ (- d2 d3) d4))
0.6b
(cbrt (+ (- d2 d3) d4))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
23×add-sqr-sqrt
22×distribute-lft-out
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1 distribute-lft-out--
9×flip3-+ pow1/3 flip-+
8×associate-*r* associate-*l*
6×add-exp-log
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 → 105
Calls
4 calls:
73.0ms
(* (cbrt (+ (- d2 d3) d4)) (cbrt (+ (- d2 d3) d4)))
12.0ms
(cbrt (+ (- d2 d3) d4))
9.0ms
(cbrt (+ (- d2 d3) d4))
9.0ms
(cbrt (+ (- d2 d3) d4))

series562.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(* (cbrt (+ (- d2 d3) d4)) (cbrt (+ (- d2 d3) d4)))
146.0ms
(cbrt (+ (- d2 d3) d4))
146.0ms
(cbrt (+ (- d2 d3) d4))
142.0ms
(cbrt (+ (- d2 d3) d4))

simplify146.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 3 (136.0ms)

IterNodesCost
0227946
1807880
24074781
35002767

prune266.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* d1 (+ (- d2 d3) d4)) (* d1 d1))) (cbrt (- (* d1 (+ (- d2 d3) d4)) (* d1 d1))))
1.7b
(cbrt (- (* d1 (+ (- d2 d3) d4)) (* d1 d1)))
1.7b
(cbrt (- (* d1 (+ (- d2 d3) d4)) (* d1 d1)))
1.7b
(cbrt (- (* d1 (+ (- d2 d3) d4)) (* d1 d1)))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
7×swap-sqr associate-*r* associate-*l* distribute-lft-out--
6×add-exp-log
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 → 93
Calls
4 calls:
101.0ms
(* (cbrt (- (* d1 (+ (- d2 d3) d4)) (* d1 d1))) (cbrt (- (* d1 (+ (- d2 d3) d4)) (* d1 d1))))
12.0ms
(cbrt (- (* d1 (+ (- d2 d3) d4)) (* d1 d1)))
12.0ms
(cbrt (- (* d1 (+ (- d2 d3) d4)) (* d1 d1)))
12.0ms
(cbrt (- (* d1 (+ (- d2 d3) d4)) (* d1 d1)))

series1.4s

Counts
4 → 12
Calls
4 calls:
330.0ms
(* (cbrt (- (* d1 (+ (- d2 d3) d4)) (* d1 d1))) (cbrt (- (* d1 (+ (- d2 d3) d4)) (* d1 d1))))
362.0ms
(cbrt (- (* d1 (+ (- d2 d3) d4)) (* d1 d1)))
361.0ms
(cbrt (- (* d1 (+ (- d2 d3) d4)) (* d1 d1)))
358.0ms
(cbrt (- (* d1 (+ (- d2 d3) d4)) (* d1 d1)))

simplify95.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
02411427
18781329
241031237
350021212

prune301.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes106.0ms

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
0115
1115

end0.0ms

sample938.0ms

Algorithm
intervals
Results
637.0ms11921×body80valid