Details

Time bar (total: 2.8s)

sample16.0ms

Algorithm
intervals
Results
6.0ms268×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1173
2173

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
4.1b
(/ x (- y (* z t)))

rewrite11.0ms

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:
3.0ms
(- y (* z t))
7.0ms
(/ x (- y (* z t)))

series60.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(- y (* z t))
32.0ms
(/ x (- y (* z t)))

simplify118.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0157244
1479225
21401225
34323224
45001224

prune102.0ms

Filtered
47 candidates to 37 candidates (78.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.2b
(/ 1 (- y (* z t)))
4.1b
(* x (/ 1 (- y (* z t))))

rewrite19.0ms

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:
3.0ms
(- y (* z t))
4.0ms
(/ 1 (- y (* z t)))
10.0ms
(* x (/ 1 (- y (* z t))))

series102.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(- y (* z t))
43.0ms
(/ 1 (- y (* z t)))
32.0ms
(* x (/ 1 (- y (* z t))))

simplify71.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0264479
11071416
23863386
35001386

prune152.0ms

Filtered
92 candidates to 55 candidates (59.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 4.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.4b
(/ (- y (* z t)) (cbrt x))
3.0b
(/ (* (cbrt x) (cbrt x)) (/ (- y (* z t)) (cbrt x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
47×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×cbrt-prod
28×associate-/r*
18×add-exp-log
11×add-cbrt-cube
7×cbrt-undiv div-exp
4×pow1 div-inv associate-/l* add-log-exp
2×frac-2neg pow1/3 prod-exp clear-num cbrt-unprod associate-/l/
1×flip3-- div-sub associate-/r/ flip--
Counts
4 → 128
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
5.0ms
(/ (- y (* z t)) (cbrt x))
10.0ms
(/ (* (cbrt x) (cbrt x)) (/ (- y (* z t)) (cbrt x)))

series578.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt x)
177.0ms
(cbrt x)
158.0ms
(/ (- y (* z t)) (cbrt x))
58.0ms
(/ (* (cbrt x) (cbrt x)) (/ (- y (* z t)) (cbrt x)))

simplify66.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04671225
123651087
250031054

prune387.0ms

Filtered
140 candidates to 119 candidates (85.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 4.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.7b
(* (sqrt x) (/ (sqrt x) (- y (* z t))))
1.7b
(/ (sqrt x) (- y (* z t)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
40×times-frac
33×add-cube-cbrt *-un-lft-identity
29×sqrt-prod
24×associate-*r*
10×add-exp-log add-cbrt-cube
6×associate-*l* associate-/l* unswap-sqr
5×pow1 add-log-exp
4×associate-/r/
3×flip3-- associate-/r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv
1×sub-neg frac-2neg diff-log associate-*r/ pow-prod-down clear-num *-commutative
Counts
3 → 103
Calls
3 calls:
3.0ms
(- y (* z t))
11.0ms
(* (sqrt x) (/ (sqrt x) (- y (* z t))))
5.0ms
(/ (sqrt x) (- y (* z t)))

series134.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- y (* z t))
46.0ms
(* (sqrt x) (/ (sqrt x) (- y (* z t))))
55.0ms
(/ (sqrt x) (- y (* z t)))

simplify46.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0298824
11249729
25001710

prune229.0ms

Filtered
112 candidates to 73 candidates (65.2%)
Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 4.0b

regimes164.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample424.0ms

Algorithm
intervals
Results
205.0ms8357×body80valid