Details

Time bar (total: 2.7s)

sample20.0ms

Algorithm
intervals
Results
9.0ms325×body80valid
0.0ms1×body320valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0205
1504
21484
33184
44734
54854
64854

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma d1 d2 (* (+ d3 5.0) d1))
0.0b
(* (+ d3 5.0) d1)
0.0b
(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×associate-*l*
3×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×associate-*l/ fma-udef
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
3 → 43
Calls
3 calls:
1.0ms
(fma d1 d2 (* (+ d3 5.0) d1))
6.0ms
(* (+ d3 5.0) d1)
1.0ms
(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

series115.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(fma d1 d2 (* (+ d3 5.0) d1))
27.0ms
(* (+ d3 5.0) d1)
46.0ms
(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

simplify57.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0157218
1553192
22658192
35001192

prune153.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma d1 d3 (* d1 d2))
0.0b
(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
1.0ms
(fma d1 d3 (* d1 d2))
1.0ms
(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(fma d1 d3 (* d1 d2))
43.0ms
(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

simplify30.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
042101
114889
278989
3500189

prune69.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma d1 d2 (/ (* (- (* d3 d3) (* 5.0 5.0)) d1) (- d3 5.0)))
0.0b
(fma 32.0 d1 (fma d1 d2 (/ (* (- (* d3 d3) (* 5.0 5.0)) d1) (- d3 5.0))))
5.2b
(* (- (* d3 d3) (* 5.0 5.0)) d1)
8.2b
(/ (* (- (* d3 d3) (* 5.0 5.0)) d1) (- d3 5.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
11×add-exp-log add-cbrt-cube
8×add-cube-cbrt
6×pow1
5×times-frac associate-/r*
4×expm1-log1p-u associate-*l* associate-*l/ log1p-expm1-u add-log-exp
3×flip3-- associate-*r* flip-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod fma-udef associate-/l/ distribute-lft-out--
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 74
Calls
4 calls:
1.0ms
(fma d1 d2 (/ (* (- (* d3 d3) (* 5.0 5.0)) d1) (- d3 5.0)))
1.0ms
(fma 32.0 d1 (fma d1 d2 (/ (* (- (* d3 d3) (* 5.0 5.0)) d1) (- d3 5.0))))
6.0ms
(* (- (* d3 d3) (* 5.0 5.0)) d1)
10.0ms
(/ (* (- (* d3 d3) (* 5.0 5.0)) d1) (- d3 5.0))

series513.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(fma d1 d2 (/ (* (- (* d3 d3) (* 5.0 5.0)) d1) (- d3 5.0)))
110.0ms
(fma 32.0 d1 (fma d1 d2 (/ (* (- (* d3 d3) (* 5.0 5.0)) d1) (- d3 5.0))))
41.0ms
(* (- (* d3 d3) (* 5.0 5.0)) d1)
270.0ms
(/ (* (- (* d3 d3) (* 5.0 5.0)) d1) (- d3 5.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0367645
11632553
25001542

prune242.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 32.0 d1 (* (sqrt (fma d1 d2 (* (+ d3 5.0) d1))) (sqrt (fma d1 d2 (* (+ d3 5.0) d1)))))
0.1b
(sqrt (fma d1 d2 (* (+ d3 5.0) d1)))
0.1b
(sqrt (fma d1 d2 (* (+ d3 5.0) d1)))
0.3b
(* (sqrt (fma d1 d2 (* (+ d3 5.0) d1))) (sqrt (fma d1 d2 (* (+ d3 5.0) d1))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
1.0ms
(fma 32.0 d1 (* (sqrt (fma d1 d2 (* (+ d3 5.0) d1))) (sqrt (fma d1 d2 (* (+ d3 5.0) d1)))))
2.0ms
(sqrt (fma d1 d2 (* (+ d3 5.0) d1)))
2.0ms
(sqrt (fma d1 d2 (* (+ d3 5.0) d1)))
6.0ms
(* (sqrt (fma d1 d2 (* (+ d3 5.0) d1))) (sqrt (fma d1 d2 (* (+ d3 5.0) d1))))

series226.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(fma 32.0 d1 (* (sqrt (fma d1 d2 (* (+ d3 5.0) d1))) (sqrt (fma d1 d2 (* (+ d3 5.0) d1)))))
70.0ms
(sqrt (fma d1 d2 (* (+ d3 5.0) d1)))
67.0ms
(sqrt (fma d1 d2 (* (+ d3 5.0) d1)))
39.0ms
(* (sqrt (fma d1 d2 (* (+ d3 5.0) d1))) (sqrt (fma d1 d2 (* (+ d3 5.0) d1))))

simplify170.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0205703
1728591
24238561
35001561

prune210.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes101.0ms

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
083
183

end0.0ms

sample504.0ms

Algorithm
intervals
Results
287.0ms10109×body80valid
2.0ms24×body640valid
1.0ms13×body320valid
1.0ms4×body1280valid
0.0ms8×body160valid