Details

Time bar (total: 8.0s)

sample66.0ms

Algorithm
intervals
Results
43.0ms393×body80valid

simplify151.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (148.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.9b

localize15.0ms

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)
6.0b
(/ (* t a) c)
8.5b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite9.0ms

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)
3.0ms
(/ (* t a) c)
3.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series361.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
35.0ms
(fma x (* 9.0 y) b)
21.0ms
(/ (* t a) c)
63.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify43.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0284424
11137356
25001355

prune337.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 2.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
0.6b
(cbrt c)
3.3b
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
8.5b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
30×add-exp-log
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
22×associate-*r*
17×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×div-inv associate-/l*
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
Counts
4 → 110
Calls
4 calls:
0.0ms
(cbrt c)
1.0ms
(cbrt c)
24.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
3.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series527.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(cbrt c)
200.0ms
(cbrt c)
61.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
65.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify73.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0552862
12701698
25001661

prune615.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 2.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.8b
(* (/ (* (cbrt t) (cbrt t)) (cbrt c)) (* (/ (cbrt t) (cbrt c)) (/ a (cbrt c))))
8.5b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
78×add-exp-log
40×add-cbrt-cube
33×prod-exp cbrt-unprod
24×cbrt-undiv div-exp
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×associate-*l*
9×pow1 cbrt-prod times-frac
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down associate-*l/ associate-/l*
2×pow1/3 div-inv
1×frac-2neg associate-*r* clear-num associate-/r* *-commutative
Counts
4 → 109
Calls
4 calls:
0.0ms
(cbrt t)
1.0ms
(cbrt t)
42.0ms
(* (/ (* (cbrt t) (cbrt t)) (cbrt c)) (* (/ (cbrt t) (cbrt c)) (/ a (cbrt c))))
3.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series495.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(cbrt t)
205.0ms
(cbrt t)
23.0ms
(* (/ (* (cbrt t) (cbrt t)) (cbrt c)) (* (/ (cbrt t) (cbrt c)) (/ a (cbrt c))))
61.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify80.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
05671192
12395887
25001765

prune530.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 2.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt (* (cbrt t) (cbrt t)))
0.8b
(* (/ (* (cbrt t) (* (cbrt (* (cbrt t) (cbrt t))) (cbrt (cbrt t)))) (cbrt c)) (* (/ (cbrt t) (cbrt c)) (/ a (cbrt c))))
8.5b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
111×add-exp-log
52×prod-exp add-cbrt-cube cbrt-unprod
33×cbrt-undiv div-exp
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
9×pow1 times-frac
7×cbrt-prod
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down associate-*l/ associate-/l*
2×pow1/3 div-inv
1×frac-2neg associate-*r* clear-num associate-/r* *-commutative
Counts
4 → 117
Calls
4 calls:
1.0ms
(cbrt t)
3.0ms
(cbrt (* (cbrt t) (cbrt t)))
62.0ms
(* (/ (* (cbrt t) (* (cbrt (* (cbrt t) (cbrt t))) (cbrt (cbrt t)))) (cbrt c)) (* (/ (cbrt t) (cbrt c)) (/ a (cbrt c))))
3.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series605.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(cbrt t)
305.0ms
(cbrt (* (cbrt t) (cbrt t)))
30.0ms
(* (/ (* (cbrt t) (* (cbrt (* (cbrt t) (cbrt t))) (cbrt (cbrt t)))) (cbrt c)) (* (/ (cbrt t) (cbrt c)) (/ a (cbrt c))))
61.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify100.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07091998
130371517
250011373

prune770.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 2.5b

regimes770.0ms

Accuracy

3.7% (6.1b remaining)

Error of 9.7b against oracle of 3.6b and baseline of 9.9b

bsearch329.0ms

Steps
ItersRangePoint
8
13104.00375276887
14384989.797278475
231759.49084226042
6
-6.41113147304247e-282
-1.1490750144599925e-282
-5.255516434757261e-282
10
-2.435606013115245e+45
-5.118332270068503e+30
-2.3946961746475826e+35

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05845
15845

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.4s13002×body80valid