Details

Time bar (total: 4.5s)

sample18.0ms

Algorithm
intervals
Results
7.0ms265×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1173
2213
3213

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×fma-neg prod-diff associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
6.0ms
(- y (* z t))
9.0ms
(/ x (- y (* z t)))

series61.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(- y (* z t))
35.0ms
(/ x (- y (* z t)))

simplify54.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0180288
1538261
21859260
35001245

prune199.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.8b
(/ 1 (/ (- y (* z t)) x))
2.2b
(/ (- y (* z t)) x)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u fma-neg prod-diff log1p-expm1-u
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 130
Calls
3 calls:
6.0ms
(- y (* z t))
13.0ms
(/ 1 (/ (- y (* z t)) x))
14.0ms
(/ (- y (* z t)) x)

series160.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(- y (* z t))
92.0ms
(/ 1 (/ (- y (* z t)) x))
42.0ms
(/ (- y (* z t)) x)

simplify61.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0434991
11842881
25001802

prune397.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(/ (cbrt x) (- y (* z t)))
1.7b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

rewrite64.0ms

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×expm1-log1p-u associate-/r/ log1p-expm1-u 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 → 118
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
13.0ms
(/ (cbrt x) (- y (* z t)))
45.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

series550.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt x)
193.0ms
(cbrt x)
113.0ms
(/ (cbrt x) (- y (* z t)))
58.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

simplify68.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0387965
11998829
25002795

prune677.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 2.1b

localize13.0ms

Local error

Found 4 expressions with local error:

2.2b
(/ x (* (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))) (cbrt (- y (* z t)))))
8.1b
(cbrt (- y (* z t)))
8.1b
(cbrt (- y (* z t)))
8.1b
(cbrt (- y (* z t)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-- flip--
28×frac-times
26×associate-/r/
14×associate-*l/
13×add-exp-log
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
8×associate-*r/
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv times-frac pow1/3 div-exp prod-exp cbrt-unprod associate-/l*
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 96
Calls
4 calls:
54.0ms
(/ x (* (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))) (cbrt (- y (* z t)))))
3.0ms
(cbrt (- y (* z t)))
3.0ms
(cbrt (- y (* z t)))
3.0ms
(cbrt (- y (* z t)))

series426.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(/ x (* (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))) (cbrt (- y (* z t)))))
117.0ms
(cbrt (- y (* z t)))
120.0ms
(cbrt (- y (* z t)))
119.0ms
(cbrt (- y (* z t)))

simplify99.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
04181240
110471132
237641026
35001996

prune796.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 2.1b

regimes315.0ms

Accuracy

0% (0.1b remaining)

Error of 2.7b against oracle of 2.7b and baseline of 2.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample426.0ms

Algorithm
intervals
Results
206.0ms8375×body80valid