Details

Time bar (total: 8.5s)

sample23.0ms

Algorithm
intervals
Results
10.0ms330×body80valid
0.0ms5×body320valid
0.0ms2×body1280valid
0.0ms4×body160valid
0.0ms1×body640valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (10.0ms)

IterNodesCost
0316
1926
23096
38805
416305
518725
618865
718865

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ y z) z) y)
0.0b
(* x (+ (+ (+ (+ y z) z) y) t))
0.0b
(+ (+ y z) z)
0.0b
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

rewrite965.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
23×distribute-lft-out
20×add-log-exp
10×add-sqr-sqrt fma-def sum-log
8×add-cube-cbrt
7×associate-*r*
6×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u associate-+l+ flip3-+ flip-+ log1p-expm1-u
3×+-commutative associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 89
Calls
4 calls:
70.0ms
(+ (+ (+ y z) z) y)
639.0ms
(* x (+ (+ (+ (+ y z) z) y) t))
15.0ms
(+ (+ y z) z)
238.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series153.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (+ (+ y z) z) y)
39.0ms
(* x (+ (+ (+ (+ y z) z) y) t))
28.0ms
(+ (+ y z) z)
56.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0402503
11821449
25001430

prune256.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (fma 2 z y) y)
0.0b
(* x (+ (+ (fma 2 z y) y) t))
0.0b
(+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
8×add-sqr-sqrt
7×add-log-exp
6×add-cube-cbrt
5×pow1 add-exp-log associate-*r* add-cbrt-cube
4×fma-def distribute-lft-out
3×expm1-log1p-u associate-+l+ flip3-+ associate-*l* flip-+ log1p-expm1-u
2×+-commutative distribute-rgt-in distribute-lft-in associate-*r/ sum-log
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 60
Calls
3 calls:
3.0ms
(+ (fma 2 z y) y)
38.0ms
(* x (+ (+ (fma 2 z y) y) t))
14.0ms
(+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))

series147.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ (fma 2 z y) y)
52.0ms
(* x (+ (+ (fma 2 z y) y) t))
63.0ms
(+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0319361
11364337
25001331

prune199.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))))
0.5b
(cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0)))
0.5b
(cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0)))
0.5b
(cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0)))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
91.0ms
(* (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))))
11.0ms
(cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0)))
11.0ms
(cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0)))
11.0ms
(cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0)))

series1.5s

Counts
4 → 12
Calls
4 calls:
470.0ms
(* (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))))
352.0ms
(cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0)))
353.0ms
(cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0)))
347.0ms
(cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03391751
112621643
250011533

prune394.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))))) (cbrt (* (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))))))
0.5b
(cbrt (* (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0)))))
0.5b
(cbrt (* (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0)))))
0.5b
(cbrt (* (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0)))))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
420×cbrt-div
148×frac-times
126×flip3-+ flip-+
50×associate-*r/ associate-*l/
12×add-sqr-sqrt
11×pow1 cbrt-prod
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 173
Calls
4 calls:
66.0ms
(* (cbrt (* (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))))) (cbrt (* (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))))))
28.0ms
(cbrt (* (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0)))))
28.0ms
(cbrt (* (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0)))))
31.0ms
(cbrt (* (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0)))))

series2.6s

Counts
4 → 12
Calls
4 calls:
1.1s
(* (cbrt (* (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))))) (cbrt (* (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))))))
458.0ms
(cbrt (* (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0)))))
529.0ms
(cbrt (* (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0)))))
481.0ms
(cbrt (* (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (fma 2 z y) y) t)) (* y 5.0)))))

simplify120.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04839588
114009320
250019145

prune637.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes220.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1176

end0.0ms

sample613.0ms

Algorithm
intervals
Results
320.0ms10578×body80valid
12.0ms112×body640valid
10.0ms76×body1280valid
6.0ms70×body320valid
2.0ms43×body160valid