Details

Time bar (total: 6.3s)

sample20.0ms

Algorithm
intervals
Results
7.0ms327×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0153
1333
2633
31073
41483
51813
62203
73073
85873
911813
1023143
1137383
1250013

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
4.0b
(* (/ x y) (- z t))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity prod-diff
34×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
13×associate-*l*
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×expm1-log1p-u frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 98
Calls
2 calls:
18.0ms
(+ (* (/ x y) (- z t)) t)
29.0ms
(* (/ x y) (- z t))

series87.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (* (/ x y) (- z t)) t)
52.0ms
(* (/ x y) (- z t))

simplify52.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0468779
11866547
25001533

prune227.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.7b
(pow (cbrt z) 3)
2.2b
(/ (pow (cbrt z) 3) (/ y x))
3.1b
(* (/ x y) t)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
415×times-frac
226×add-sqr-sqrt
221×add-cube-cbrt *-un-lft-identity
93×cbrt-prod
90×unpow-prod-down cube-prod
23×add-exp-log
21×div-inv
18×associate-/l*
15×cube-mult unpow3 sqr-pow
14×add-cbrt-cube
13×associate-*l* associate-/r*
10×div-exp
7×pow1
4×cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-to-exp pow-unpow associate-*r* pow-exp
2×pow-pow pow1/3 prod-exp cbrt-unprod unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r/ *-commutative rem-cube-cbrt
Counts
4 → 365
Calls
4 calls:
1.0ms
(cbrt z)
3.0ms
(pow (cbrt z) 3)
22.0ms
(/ (pow (cbrt z) 3) (/ y x))
14.0ms
(* (/ x y) t)

series461.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt z)
211.0ms
(pow (cbrt z) 3)
48.0ms
(/ (pow (cbrt z) 3) (/ y x))
20.0ms
(* (/ x y) t)

simplify53.0ms

Algorithm
egg-herbie
Counts
377 → 377
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09962762
150022474

prune725.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (/ x y) t)
11.9b
(cbrt (/ (pow (cbrt z) 3) (/ y x)))
11.9b
(cbrt (/ (pow (cbrt z) 3) (/ y x)))
11.9b
(cbrt (/ (pow (cbrt z) 3) (/ y x)))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
1198×times-frac
951×cbrt-prod
593×add-sqr-sqrt
588×add-cube-cbrt *-un-lft-identity
234×unpow-prod-down cube-prod
58×div-inv
39×cube-mult unpow3 sqr-pow
13×associate-*l*
9×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 associate-*r* associate-/r/
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 784
Calls
4 calls:
14.0ms
(* (/ x y) t)
18.0ms
(cbrt (/ (pow (cbrt z) 3) (/ y x)))
21.0ms
(cbrt (/ (pow (cbrt z) 3) (/ y x)))
18.0ms
(cbrt (/ (pow (cbrt z) 3) (/ y x)))

series278.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (/ x y) t)
84.0ms
(cbrt (/ (pow (cbrt z) 3) (/ y x)))
84.0ms
(cbrt (/ (pow (cbrt z) 3) (/ y x)))
89.0ms
(cbrt (/ (pow (cbrt z) 3) (/ y x)))

simplify112.0ms

Algorithm
egg-herbie
Counts
796 → 796
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
011499635
150019511

prune1.7s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
1.3b
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
3.0b
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite261.0ms

Algorithm
rewrite-expression-head
Rules
136×cbrt-div
98×frac-times
68×flip3-- flip--
50×associate-*r/
37×associate-*l/
34×add-exp-log
24×add-sqr-sqrt
21×*-un-lft-identity add-cbrt-cube
18×pow1
17×prod-exp cbrt-unprod
15×cbrt-prod add-cube-cbrt
14×associate-*l*
10×times-frac
9×associate-*r* pow-prod-down
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 172
Calls
4 calls:
4.0ms
(cbrt (- z t))
4.0ms
(cbrt (- z t))
186.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
58.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series666.0ms

Counts
4 → 12
Calls
4 calls:
355.0ms
(cbrt (- z t))
146.0ms
(cbrt (- z t))
56.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
109.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify74.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
08322341
126732121
250012060

prune409.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes174.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample589.0ms

Algorithm
intervals
Results
248.0ms10637×body80valid