Details

Time bar (total: 2.7s)

sample26.0ms

Algorithm
intervals
Results
12.0ms376×body80valid

simplify110.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0266
1815
22484
36134
412954
525244
633494
743894
846484
946484

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity prod-diff
16×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×associate-*r*
4×pow1 add-exp-log add-cbrt-cube
3×associate-*l*
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u add-log-exp
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 56
Calls
2 calls:
7.0ms
(* d1 (- d4 d1))
1.0ms
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* d1 (- d4 d1))
55.0ms
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

simplify35.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0213430
1888283
25002273

prune109.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

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))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity diff-log
5×prod-diff
4×fma-def fma-neg sum-log
3×pow1 add-exp-log expm1-log1p-u sub-neg associate-+l+ add-cbrt-cube log1p-expm1-u
2×associate-+l- flip3-- flip-- distribute-lft-out--
1×+-commutative associate--l- flip3-+ associate--l+ flip-+ difference-of-squares
Counts
3 → 64
Calls
3 calls:
9.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
4.0ms
(- (* d1 d2) (* d1 d3))
9.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series130.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
38.0ms
(- (* d1 d2) (* d1 d3))
37.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify44.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0299485
11251403
25001388

prune192.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
42×prod-diff
36×add-sqr-sqrt
33×*-un-lft-identity
31×add-cube-cbrt
22×distribute-rgt-in distribute-lft-in associate--r+
10×add-log-exp
7×sub-neg
6×distribute-lft-out--
5×pow1 add-exp-log fma-neg associate-*r* add-cbrt-cube
4×diff-log
3×expm1-log1p-u flip3-- associate-*l* associate--l+ flip-- log1p-expm1-u
2×associate-*r/ difference-of-squares
1×associate--l- pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 114
Calls
3 calls:
7.0ms
(* d1 (- d3 d4))
6.0ms
(- (- (* d1 d2) (* d1 (- d3 d4))) (* d1 d1))
6.0ms
(- (* d1 d2) (* d1 (- d3 d4)))

series137.0ms

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

simplify65.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0482876
11898634
25001626

prune250.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* d1 (- d4 d1))
0.0b
(fma (- d2 d3) d1 (cbrt (pow (* d1 (- d4 d1)) 3)))
0.3b
(pow (* d1 (- d4 d1)) 3)
32.3b
(cbrt (pow (* d1 (- d4 d1)) 3))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-cbrt-cube
8×cbrt-prod
6×associate-*r/
5×associate-*r*
4×cube-div expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow flip3-- associate-*l* flip--
2×cube-mult sub-neg unpow-prod-down cbrt-div pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
1×pow-to-exp pow1/3 *-commutative rem-cbrt-cube fma-udef distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 103
Calls
4 calls:
8.0ms
(* d1 (- d4 d1))
1.0ms
(fma (- d2 d3) d1 (cbrt (pow (* d1 (- d4 d1)) 3)))
6.0ms
(pow (* d1 (- d4 d1)) 3)
3.0ms
(cbrt (pow (* d1 (- d4 d1)) 3))

series215.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* d1 (- d4 d1))
78.0ms
(fma (- d2 d3) d1 (cbrt (pow (* d1 (- d4 d1)) 3)))
48.0ms
(pow (* d1 (- d4 d1)) 3)
54.0ms
(cbrt (pow (* d1 (- d4 d1)) 3))

simplify69.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0388689
11838529
25002523

prune271.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes73.0ms

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
094
194

end0.0ms

sample710.0ms

Algorithm
intervals
Results
404.0ms11860×body80valid