Details

Time bar (total: 3.6s)

sample27.0ms

Algorithm
intervals
Results
11.0ms272×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1173
2173

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
2.5b
(/ x (- y (* z t)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
4.0ms
(- y (* z t))
7.0ms
(/ x (- y (* z t)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- y (* z t))
50.0ms
(/ x (- y (* z t)))

simplify107.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0157244
1479225
21401225
34323224
45001224

prune148.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.4b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.5b
(/ 1 (- y (* z t)))
2.2b
(* x (/ 1 (- y (* z t))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×flip3-- associate-*l* associate-/r* flip-- associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 83
Calls
3 calls:
2.0ms
(- y (* z t))
4.0ms
(/ 1 (- y (* z t)))
12.0ms
(* x (/ 1 (- y (* z t))))

series117.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- y (* z t))
42.0ms
(/ 1 (- y (* z t)))
34.0ms
(* x (/ 1 (- y (* z t))))

simplify76.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0264479
11071416
23863386
35001386

prune162.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(/ (cbrt x) (- y (* z t)))
1.7b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
38×times-frac
34×add-cube-cbrt *-un-lft-identity
28×cbrt-prod
24×associate-*r*
18×add-exp-log
11×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod associate-/l*
4×associate-/r/ add-log-exp
3×cbrt-undiv div-exp pow-prod-down associate-/r* unswap-sqr
2×flip3-- pow1/3 flip-- div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 110
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
5.0ms
(/ (cbrt x) (- y (* z t)))
23.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

series514.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
175.0ms
(cbrt x)
107.0ms
(/ (cbrt x) (- y (* z t)))
59.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

simplify55.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0380929
11986793
25001764

prune307.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 2.4b

localize13.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (* (cbrt x) (cbrt x)) (/ (/ (cbrt x) (* (cbrt (- y (* z t))) (cbrt (- y (* z t))))) (cbrt (- y (* z t)))))
9.1b
(cbrt (- y (* z t)))
9.1b
(cbrt (- y (* z t)))
9.1b
(cbrt (- y (* z t)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
154×times-frac
114×associate-*r*
86×cbrt-prod
80×cbrt-div
75×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
50×associate-/r/
40×flip3-- flip--
36×add-exp-log
24×frac-times
14×prod-exp add-cbrt-cube cbrt-unprod
13×associate-*r/
12×associate-*l/
10×cbrt-undiv div-exp
9×pow1
7×div-inv unswap-sqr
4×add-log-exp
3×pow1/3 pow-prod-down
1×associate-*l* *-commutative
Counts
4 → 188
Calls
4 calls:
69.0ms
(* (* (cbrt x) (cbrt x)) (/ (/ (cbrt x) (* (cbrt (- y (* z t))) (cbrt (- y (* z t))))) (cbrt (- y (* z t)))))
1.0ms
(cbrt (- y (* z t)))
1.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))

series370.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (* (cbrt x) (cbrt x)) (/ (/ (cbrt x) (* (cbrt (- y (* z t))) (cbrt (- y (* z t))))) (cbrt (- y (* z t)))))
109.0ms
(cbrt (- y (* z t)))
109.0ms
(cbrt (- y (* z t)))
114.0ms
(cbrt (- y (* z t)))

simplify62.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
013183352
150013067

prune769.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 2.4b

regimes216.0ms

Accuracy

0% (0.1b remaining)

Error of 2.9b against oracle of 2.8b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample413.0ms

Algorithm
intervals
Results
202.0ms8368×body80valid