Details

Time bar (total: 2.7s)

sample17.0ms

Algorithm
intervals
Results
6.0ms264×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1173
2213
3213

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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)))

series60.0ms

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

simplify56.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0180288
1538261
21859260
35001245

prune118.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.2b

localize7.0ms

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))))

rewrite41.0ms

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:
6.0ms
(- y (* z t))
10.0ms
(/ 1 (- y (* z t)))
23.0ms
(* x (/ 1 (- y (* z t))))

series98.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(- y (* z t))
39.0ms
(/ 1 (- y (* z t)))
33.0ms
(* x (/ 1 (- y (* z t))))

simplify84.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0289533
11133461
24086427
35001424

prune173.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.9b
(/ 1 (/ (- y (* z t)) x))
2.2b
(/ (- y (* z t)) x)

rewrite39.0ms

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:
5.0ms
(- y (* z t))
13.0ms
(/ 1 (/ (- y (* z t)) x))
16.0ms
(/ (- y (* z t)) x)

series154.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(- y (* z t))
90.0ms
(/ 1 (/ (- y (* z t)) x))
36.0ms
(/ (- y (* z t)) x)

simplify51.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0434991
11842881
25001802

prune228.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 2.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.3b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
1.4b
(/ (cbrt x) (- y (* z t)))

rewrite62.0ms

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)
43.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
13.0ms
(/ (cbrt x) (- y (* z t)))

series498.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt x)
169.0ms
(cbrt x)
50.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
105.0ms
(/ (cbrt x) (- y (* z t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0387965
11998829
25002795

prune324.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 2.2b

regimes164.0ms

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

sample463.0ms

Algorithm
intervals
Results
185.0ms8385×body80valid