Details

Time bar (total: 3.1s)

sample15.0ms

Algorithm
intervals
Results
6.0ms264×body80valid

simplify9.0ms

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: 2.2b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

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:
2.0ms
(- y (* z t))
4.0ms
(/ x (- y (* z t)))

series60.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(- y (* z t))
32.0ms
(/ x (- y (* z t)))

simplify107.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
0157244
1479225
21401225
34323224
45001224

prune116.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.1b
(/ 1 (- y (* z t)))
2.3b
(* x (/ 1 (- y (* z t))))

rewrite21.0ms

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))))

series106.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(- y (* z t))
46.0ms
(/ 1 (- y (* z t)))
33.0ms
(* x (/ 1 (- y (* z t))))

simplify68.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0264479
11071416
23863386
35001386

prune164.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 2.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
8.9b
(cbrt (- y (* z t)))
8.9b
(cbrt (- y (* z t)))
8.9b
(cbrt (- y (* z t)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity flip--
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 68
Calls
4 calls:
8.0ms
(/ x (* (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)))

series511.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
117.0ms
(cbrt (- y (* z t)))
114.0ms
(cbrt (- y (* z t)))
114.0ms
(cbrt (- y (* z t)))

simplify75.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0326723
1859668
22913652
35003652

prune270.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.7b
(* x (/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t))))))
8.9b
(cbrt (- y (* z t)))
8.9b
(cbrt (- y (* z t)))
8.9b
(cbrt (- y (* z t)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
18×cbrt-div
15×add-sqr-sqrt associate-*r*
11×*-un-lft-identity add-cbrt-cube
10×add-cube-cbrt prod-exp
9×cbrt-prod flip3-- flip--
8×associate-/r/
6×pow1
5×times-frac
4×frac-times div-exp cbrt-unprod add-log-exp
3×pow1/3 associate-*r/ associate-*l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp associate-*l/
1×pow-prod-down un-div-inv *-commutative div-inv
Counts
4 → 81
Calls
4 calls:
39.0ms
(* x (/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t))))))
1.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))
5.0ms
(cbrt (- y (* z t)))

series524.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(* x (/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t))))))
118.0ms
(cbrt (- y (* z t)))
122.0ms
(cbrt (- y (* z t)))
114.0ms
(cbrt (- y (* z t)))

simplify49.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0442842
11570752
25002717

prune256.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 2.1b

regimes225.0ms

Accuracy

0% (0.1b remaining)

Error of 3.0b against oracle of 2.9b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample396.0ms

Algorithm
intervals
Results
191.0ms8355×body80valid