Details

Time bar (total: 3.0s)

sample16.0ms

Algorithm
intervals
Results
6.0ms268×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1173
2213
3213

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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

series67.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(- y (* z t))
38.0ms
(/ x (- y (* z t)))

simplify55.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0180288
1538261
21859260
35001245

prune138.0ms

Filtered
57 candidates to 44 candidates (77.2%)
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))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity
21×add-cube-cbrt
20×times-frac
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×expm1-log1p-u flip3-- fma-neg associate-*l* prod-diff associate-/r* flip-- log1p-expm1-u 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 → 95
Calls
3 calls:
3.0ms
(- y (* z t))
5.0ms
(/ 1 (- y (* z t)))
9.0ms
(* x (/ 1 (- y (* z t))))

series120.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- y (* z t))
52.0ms
(/ 1 (- y (* z t)))
37.0ms
(* x (/ 1 (- y (* z t))))

simplify88.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0289533
11133461
24086427
35001424

prune223.0ms

Filtered
104 candidates to 65 candidates (62.5%)
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)))

rewrite24.0ms

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 expm1-log1p-u log1p-expm1-u 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 → 136
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(/ (- y (* z t)) (cbrt x))
11.0ms
(/ (* (cbrt x) (cbrt x)) (/ (- y (* z t)) (cbrt x)))

series606.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt x)
183.0ms
(cbrt x)
171.0ms
(/ (- y (* z t)) (cbrt x))
62.0ms
(/ (* (cbrt x) (cbrt x)) (/ (- y (* z t)) (cbrt x)))

simplify66.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04771261
123931121
250011088

prune443.0ms

Filtered
148 candidates to 127 candidates (85.8%)
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)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×times-frac
35×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×expm1-log1p-u flip3-- fma-neg prod-diff associate-/r* flip-- log1p-expm1-u
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 → 115
Calls
3 calls:
3.0ms
(- y (* z t))
12.0ms
(* (sqrt x) (/ (sqrt x) (- y (* z t))))
5.0ms
(/ (sqrt x) (- y (* z t)))

series144.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- y (* z t))
56.0ms
(* (sqrt x) (/ (sqrt x) (- y (* z t))))
57.0ms
(/ (sqrt x) (- y (* z t)))

simplify49.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0323884
11310780
25001760

prune275.0ms

Filtered
124 candidates to 83 candidates (66.9%)
Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 4.0b

regimes173.0ms

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

sample418.0ms

Algorithm
intervals
Results
202.0ms8357×body80valid