Details

Time bar (total: 3.9s)

sample16.0ms

Algorithm
intervals
Results
6.0ms263×body80valid

simplify9.0ms

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: 3.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.4b
(/ x (- y (* z t)))

rewrite8.0ms

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)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(- y (* z t))
42.0ms
(/ x (- y (* z t)))

simplify59.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0180288
1538261
21859260
35001245

prune148.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.1b
(/ 1 (- y (* z t)))
3.6b
(* x (/ 1 (- y (* z t))))

rewrite24.0ms

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))
4.0ms
(/ 1 (- y (* z t)))
13.0ms
(* x (/ 1 (- y (* z t))))

series118.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- y (* z t))
50.0ms
(/ 1 (- y (* z t)))
37.0ms
(* x (/ 1 (- y (* z t))))

simplify85.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
0289533
11133461
24086427
35001424

prune220.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.7b
(/ (cbrt x) (- y (* z t)))
2.0b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

rewrite251.0ms

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)
221.0ms
(/ (cbrt x) (- y (* z t)))
25.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

series589.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt x)
201.0ms
(cbrt x)
129.0ms
(/ (cbrt x) (- y (* z t)))
65.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

simplify69.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0387965
11998829
25002795

prune411.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t))))) (/ x (cbrt (- y (* z t)))))
9.6b
(cbrt (- y (* z t)))
9.6b
(cbrt (- y (* z t)))
9.6b
(cbrt (- y (* z t)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
24×associate-*r*
22×add-cube-cbrt
21×cbrt-prod
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-- associate-/r/ flip--
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1
5×frac-times
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 127
Calls
4 calls:
70.0ms
(* (/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t))))) (/ x (cbrt (- y (* z t)))))
2.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))

series579.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(* (/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t))))) (/ x (cbrt (- y (* z t)))))
142.0ms
(cbrt (- y (* z t)))
141.0ms
(cbrt (- y (* z t)))
141.0ms
(cbrt (- y (* z t)))

simplify91.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
06341719
127631495
250011356

prune428.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 3.4b

regimes228.0ms

Accuracy

0% (0.1b remaining)

Error of 3.1b against oracle of 3.0b and baseline of 3.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample414.0ms

Algorithm
intervals
Results
207.0ms8384×body80valid