Details

Time bar (total: 3.0s)

sample23.0ms

Algorithm
intervals
Results
11.0ms347×body80valid

simplify101.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* d1 (- d4 d1))
49.0ms
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

simplify33.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0213430
1888283
25002273

prune99.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×add-log-exp
2×pow1 add-exp-log distribute-lft-neg-out add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u
1×+-commutative fma-def flip3-+ unsub-neg sum-log flip-+ fma-udef
Counts
2 → 26
Calls
2 calls:
3.0ms
(+ (* d1 d4) (* (- d1) d1))
0.0ms
(fma (- d2 d3) d1 (+ (* d1 d4) (* (- d1) d1)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* d1 d4) (* (- d1) d1))
54.0ms
(fma (- d2 d3) d1 (+ (* d1 d4) (* (- d1) d1)))

simplify73.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0137198
1518166
22557151
35001146

prune87.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
36×prod-diff
35×*-un-lft-identity
31×add-cube-cbrt
22×distribute-rgt-in associate-+r+ distribute-lft-in
8×associate-*r* associate-*l*
7×pow1 add-exp-log add-cbrt-cube
6×flip3-- associate-*r/ associate-*l/ flip--
5×add-log-exp
4×sub-neg frac-add
3×expm1-log1p-u log1p-expm1-u
2×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
1×+-commutative fma-def flip3-+ sum-log flip-+
Counts
3 → 110
Calls
3 calls:
11.0ms
(* d1 (- d4 d1))
9.0ms
(* (- d2 d3) d1)
10.0ms
(+ (* (- d2 d3) d1) (* d1 (- d4 d1)))

series114.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* d1 (- d4 d1))
27.0ms
(* (- d2 d3) d1)
50.0ms
(+ (* (- d2 d3) d1) (* d1 (- d4 d1)))

simplify77.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0548820
12719605
25002601

prune230.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- d4 d1)) (cbrt (- d4 d1)))
0.5b
(cbrt (- d4 d1))
0.5b
(cbrt (- d4 d1))
0.5b
(cbrt (- d4 d1))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 109
Calls
4 calls:
19.0ms
(* (cbrt (- d4 d1)) (cbrt (- d4 d1)))
2.0ms
(cbrt (- d4 d1))
2.0ms
(cbrt (- d4 d1))
2.0ms
(cbrt (- d4 d1))

series571.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* (cbrt (- d4 d1)) (cbrt (- d4 d1)))
152.0ms
(cbrt (- d4 d1))
144.0ms
(cbrt (- d4 d1))
151.0ms
(cbrt (- d4 d1))

simplify162.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (147.0ms)

IterNodesCost
0270790
1951753
24620700
35001694

prune353.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes94.0ms

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
0156
1156

end0.0ms

sample676.0ms

Algorithm
intervals
Results
393.0ms11966×body80valid