Details

Time bar (total: 3.3s)

sample25.0ms

Algorithm
intervals
Results
12.0ms371×body80valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0266
1815
22484
36134
412954
525244
633494
743894
846484
946484

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite89.0ms

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:
3.0ms
(- (* d1 d2) (* d1 d3))
12.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
72.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

series127.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- (* d1 d2) (* d1 d3))
36.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
53.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

simplify42.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0299485
11251403
25001388

prune169.0ms

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
6×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity
3×pow1 add-exp-log expm1-log1p-u fma-neg prod-diff add-cbrt-cube log1p-expm1-u
2×diff-log sum-log fma-udef
1×+-commutative sub-neg associate-+r+ flip3-- fma-def flip3-+ associate--l+ flip-- flip-+ difference-of-squares
Counts
3 → 48
Calls
3 calls:
3.0ms
(+ (* d1 d2) (fma d1 d4 (- (* d3 d1))))
0.0ms
(fma d1 d4 (- (* d3 d1)))
23.0ms
(- (+ (* d1 d2) (fma d1 d4 (- (* d3 d1)))) (* d1 d1))

series134.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ (* d1 d2) (fma d1 d4 (- (* d3 d1))))
42.0ms
(fma d1 d4 (- (* d3 d1)))
55.0ms
(- (+ (* d1 d2) (fma d1 d4 (- (* d3 d1)))) (* d1 d1))

simplify33.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0214419
1881350
25001334

prune145.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:
11.0ms
(* d1 (- d4 d1))
0.0ms
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* d1 (- d4 d1))
50.0ms
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

simplify35.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0213430
1888283
25002273

prune98.0ms

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 (* d1 (- d4 d1))) (cbrt (* d1 (- d4 d1))))
7.2b
(cbrt (* d1 (- d4 d1)))
7.2b
(cbrt (* d1 (- d4 d1)))
7.2b
(cbrt (* d1 (- d4 d1)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×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×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u 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 → 80
Calls
4 calls:
9.0ms
(* (cbrt (* d1 (- d4 d1))) (cbrt (* d1 (- d4 d1))))
3.0ms
(cbrt (* d1 (- d4 d1)))
3.0ms
(cbrt (* d1 (- d4 d1)))
3.0ms
(cbrt (* d1 (- d4 d1)))

series929.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(* (cbrt (* d1 (- d4 d1))) (cbrt (* d1 (- d4 d1))))
225.0ms
(cbrt (* d1 (- d4 d1)))
229.0ms
(cbrt (* d1 (- d4 d1)))
228.0ms
(cbrt (* d1 (- d4 d1)))

simplify111.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
0217604
1745553
23647514
35001495

prune289.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes83.0ms

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
0187
1207
2207

end0.0ms

sample686.0ms

Algorithm
intervals
Results
391.0ms11994×body80valid