Details

Time bar (total: 7.0s)

sample45.0ms

Algorithm
intervals
Results
17.0ms407×body80valid

simplify142.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (140.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
0.3b
(fma x (* 9.0 y) b)
4.7b
(/ (* t a) c)
9.2b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite20.0ms

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:
0.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
0.0ms
(fma x (* 9.0 y) b)
10.0ms
(/ (* t a) c)
8.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series359.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
35.0ms
(fma x (* 9.0 y) b)
22.0ms
(/ (* t a) c)
68.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify37.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0284424
11137356
25001355

prune328.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 9.0 x) y b)
2.2b
(/ (fma (* 9.0 x) y b) z)
4.7b
(/ (* t a) c)
6.7b
(/ (/ (fma (* 9.0 x) y b) z) c)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/l*
16×add-exp-log add-cbrt-cube
9×associate-/r*
7×div-inv
6×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×prod-exp cbrt-unprod fma-udef associate-/l/
Counts
4 → 134
Calls
4 calls:
0.0ms
(fma (* 9.0 x) y b)
5.0ms
(/ (fma (* 9.0 x) y b) z)
10.0ms
(/ (* t a) c)
11.0ms
(/ (/ (fma (* 9.0 x) y b) z) c)

series193.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(fma (* 9.0 x) y b)
69.0ms
(/ (fma (* 9.0 x) y b) z)
22.0ms
(/ (* t a) c)
66.0ms
(/ (/ (fma (* 9.0 x) y b) z) c)

simplify53.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
04821010
11796945
25001945

prune608.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (* x y))
2.2b
(/ (+ (* 9.0 (* x y)) b) z)
4.7b
(/ (* t a) c)
6.7b
(/ (/ (+ (* 9.0 (* x y)) b) z) c)

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
57×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×add-exp-log add-cbrt-cube
17×associate-/l*
9×pow1 associate-/r*
7×div-inv
6×cbrt-undiv div-exp
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* pow-prod-down clear-num associate-/l/
1×flip3-+ associate-*r* *-commutative flip-+
Counts
4 → 146
Calls
4 calls:
17.0ms
(* 9.0 (* x y))
44.0ms
(/ (+ (* 9.0 (* x y)) b) z)
10.0ms
(/ (* t a) c)
48.0ms
(/ (/ (+ (* 9.0 (* x y)) b) z) c)

series178.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 9.0 (* x y))
66.0ms
(/ (+ (* 9.0 (* x y)) b) z)
22.0ms
(/ (* t a) c)
64.0ms
(/ (/ (+ (* 9.0 (* x y)) b) z) c)

simplify65.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05991184
122701100
250021095

prune627.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
1.7b
(/ (fma (* 9.0 x) y b) (* (cbrt c) (cbrt c)))
4.7b
(/ (* t a) c)
5.3b
(* (/ (fma (* 9.0 x) y b) (* (cbrt c) (cbrt c))) (/ (/ 1 z) (cbrt c)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
168×times-frac
124×add-sqr-sqrt
84×*-un-lft-identity
82×associate-*r*
80×add-cube-cbrt
74×add-exp-log
48×cbrt-prod
36×add-cbrt-cube
32×div-exp
22×prod-exp
19×cbrt-undiv
14×cbrt-unprod unswap-sqr
10×div-inv
7×associate-*l*
6×pow1
4×expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
3×rec-exp 1-exp
2×frac-2neg clear-num
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 200
Calls
4 calls:
1.0ms
(cbrt c)
10.0ms
(/ (fma (* 9.0 x) y b) (* (cbrt c) (cbrt c)))
12.0ms
(/ (* t a) c)
72.0ms
(* (/ (fma (* 9.0 x) y b) (* (cbrt c) (cbrt c))) (/ (/ 1 z) (cbrt c)))

series598.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt c)
266.0ms
(/ (fma (* 9.0 x) y b) (* (cbrt c) (cbrt c)))
22.0ms
(/ (* t a) c)
119.0ms
(* (/ (fma (* 9.0 x) y b) (* (cbrt c) (cbrt c))) (/ (/ 1 z) (cbrt c)))

simplify50.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
011992377
150011987

prune936.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.1b

regimes1.1s

Accuracy

40.2% (4.6b remaining)

Error of 8.4b against oracle of 3.8b and baseline of 11.5b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06662
16662

end0.0ms

sample1.2s

Algorithm
intervals
Results
551.0ms12752×body80valid