Details

Time bar (total: 2.5s)

sample29.0ms

Algorithm
intervals
Results
16.0ms388×body80valid

simplify92.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0266
1815
22484
36134
412954
525244
633494
743894
846484
946484

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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)))

series131.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* d1 (- d4 d1))
78.0ms
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

simplify33.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0213430
1888283
25002273

prune85.0ms

Filtered
62 candidates to 33 candidates (53.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New60262
Fresh011
Picked101
Done000
Total61364

Merged error: 0b

Counts
64 → 3

localize10.0ms

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))

rewrite36.0ms

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:
6.0ms
(- (* d1 d2) (* d1 d3))
10.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
17.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

series135.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- (* d1 d2) (* d1 d3))
39.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
59.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

simplify40.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0299485
11251403
25001388

prune194.0ms

Filtered
73 candidates to 57 candidates (78.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New72173
Fresh112
Picked101
Done000
Total74276

Merged error: 0b

Counts
76 → 2

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
92×*-un-lft-identity
88×add-sqr-sqrt
85×prod-diff
52×add-cube-cbrt
47×associate--r+
36×distribute-rgt-in distribute-lft-in
22×distribute-lft-out--
17×difference-of-squares
10×add-log-exp
7×sub-neg
6×associate-*r*
5×pow1 add-exp-log add-cbrt-cube associate--r-
4×fma-neg diff-log
3×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u
2×associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 162
Calls
3 calls:
7.0ms
(- d3 (- d4 d1))
8.0ms
(- (* d1 d2) (* d1 (- d3 (- d4 d1))))
12.0ms
(* d1 (- d3 (- d4 d1)))

series98.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(- d3 (- d4 d1))
51.0ms
(- (* d1 d2) (* d1 (- d3 (- d4 d1))))
31.0ms
(* d1 (- d3 (- d4 d1)))

simplify81.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05781623
121911156
25001980

prune210.0ms

Filtered
171 candidates to 84 candidates (49.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1710171
Fresh011
Picked011
Done000
Total1712173

Merged error: 0b

Counts
173 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (- d2 d3) d1 (* (* d1 (sqrt (- d4 d1))) (sqrt (- d4 d1))))
0.1b
(* d1 (sqrt (- d4 d1)))
0.2b
(* (* d1 (sqrt (- d4 d1))) (sqrt (- d4 d1)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt associate-*r*
14×sqrt-div
12×*-un-lft-identity
11×sqrt-prod
10×pow1 add-exp-log associate-*r/ add-cbrt-cube
8×add-cube-cbrt
7×flip3-- flip--
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×associate-*l/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
1×fma-udef
Counts
3 → 71
Calls
3 calls:
1.0ms
(fma (- d2 d3) d1 (* (* d1 (sqrt (- d4 d1))) (sqrt (- d4 d1))))
7.0ms
(* d1 (sqrt (- d4 d1)))
12.0ms
(* (* d1 (sqrt (- d4 d1))) (sqrt (- d4 d1)))

series147.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(fma (- d2 d3) d1 (* (* d1 (sqrt (- d4 d1))) (sqrt (- d4 d1))))
56.0ms
(* d1 (sqrt (- d4 d1)))
38.0ms
(* (* d1 (sqrt (- d4 d1))) (sqrt (- d4 d1)))

simplify41.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0316546
11334457
25001439

prune150.0ms

Filtered
80 candidates to 54 candidates (67.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New80080
Fresh000
Picked011
Done011
Total80282

Merged error: 0b

Counts
82 → 2

regimes59.0ms

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

sample776.0ms

Algorithm
intervals
Results
488.0ms11766×body80valid