Details

Time bar (total: 6.0s)

sample51.0ms

Algorithm
intervals
Results
25.0ms436×body80valid

simplify167.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (164.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune13.0ms

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: 8.2b

Counts
2 → 2

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
0.1b
(fma x (* 9.0 y) b)
6.2b
(/ (* t a) c)
7.8b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
4×pow1 cbrt-undiv expm1-log1p-u div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod fma-udef div-inv
Counts
4 → 66
Calls
4 calls:
1.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
1.0ms
(fma x (* 9.0 y) b)
5.0ms
(/ (* t a) c)
6.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series401.0ms

Counts
4 → 12
Calls
4 calls:
261.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
47.0ms
(fma x (* 9.0 y) b)
25.0ms
(/ (* t a) c)
68.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify50.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0284424
11137356
25001355

prune346.0ms

Filtered
78 candidates to 62 candidates (79.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New671178
Fresh011
Picked101
Done000
Total681280

Merged error: 2.2b

Counts
80 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (* t (/ a c)) (/ (fma x (* 9.0 y) b) (* z c)))
0.1b
(fma x (* 9.0 y) b)
5.5b
(* t (/ a c))
7.8b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
13×times-frac associate-*r*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-*l* prod-exp cbrt-unprod associate-/l*
2×fma-udef div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 77
Calls
4 calls:
1.0ms
(fma (- 4.0) (* t (/ a c)) (/ (fma x (* 9.0 y) b) (* z c)))
1.0ms
(fma x (* 9.0 y) b)
7.0ms
(* t (/ a c))
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series405.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(fma (- 4.0) (* t (/ a c)) (/ (fma x (* 9.0 y) b) (* z c)))
40.0ms
(fma x (* 9.0 y) b)
24.0ms
(* t (/ a c))
73.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify55.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0339472
11368404
25001403

prune340.0ms

Filtered
89 candidates to 66 candidates (74.2%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New87289
Fresh11011
Picked011
Done000
Total8813101

Merged error: 2.2b

Counts
101 → 13

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
0.1b
(fma x (* 9.0 y) b)
5.9b
(/ t (/ c a))
7.8b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
48×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×add-exp-log associate-/r* add-cbrt-cube
6×div-inv associate-/l*
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num fma-udef
1×prod-exp associate-/r/ cbrt-unprod
Counts
4 → 115
Calls
4 calls:
1.0ms
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
1.0ms
(fma x (* 9.0 y) b)
7.0ms
(/ t (/ c a))
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series387.0ms

Counts
4 → 12
Calls
4 calls:
245.0ms
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
40.0ms
(fma x (* 9.0 y) b)
34.0ms
(/ t (/ c a))
67.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify69.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0489787
11882713
25001712

prune515.0ms

Filtered
127 candidates to 103 candidates (81.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1252127
Fresh2911
Picked101
Done101
Total12911140

Merged error: 2.2b

Counts
140 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (* (/ t c) a) (/ (fma x (* 9.0 y) b) (* z c)))
0.1b
(fma x (* 9.0 y) b)
6.8b
(* (/ t c) a)
7.8b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
13×times-frac associate-*l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-*r* prod-exp cbrt-unprod associate-/l*
2×fma-udef div-inv unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
Counts
4 → 77
Calls
4 calls:
1.0ms
(fma (- 4.0) (* (/ t c) a) (/ (fma x (* 9.0 y) b) (* z c)))
1.0ms
(fma x (* 9.0 y) b)
7.0ms
(* (/ t c) a)
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series385.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(fma (- 4.0) (* (/ t c) a) (/ (fma x (* 9.0 y) b) (* z c)))
40.0ms
(fma x (* 9.0 y) b)
35.0ms
(* (/ t c) a)
69.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify47.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0317463
11134393
25001393

prune302.0ms

Filtered
89 candidates to 70 candidates (78.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New89089
Fresh01010
Picked011
Done000
Total8911100

Merged error: 2.2b

Counts
100 → 11

regimes907.0ms

Accuracy

30.8% (5.3b remaining)

Error of 8.8b against oracle of 3.5b and baseline of 11.1b

bsearch190.0ms

Steps
ItersRangePoint
7
5.20394069207958e-60
3.5896817549706586e-58
1.2605738030334224e-58
9
-3.557361533960363e+105
-1.4004558833275425e+100
-1.6611796881467002e+100

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03816
13816

end0.0ms

sample1.3s

Algorithm
intervals
Results
749.0ms12828×body80valid

Profiling

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