Details

Time bar (total: 4.0s)

sample19.0ms

Algorithm
intervals
Results
9.0ms267×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: 3.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.3b
(/ 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)))

series69.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- y (* z t))
35.0ms
(/ x (- y (* z t)))

simplify57.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0180288
1538261
21859260
35001245

prune134.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.3b

localize7.0ms

Local error

Found 1 expressions with local error:

3.3b
(/ (- x) (fma t z (- y)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/l*
4×neg-mul-1
3×add-exp-log associate-/r* add-cbrt-cube
1×pow1 cbrt-undiv neg-sub0 expm1-log1p-u frac-2neg div-sub distribute-frac-neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 59
Calls
1 calls:
4.0ms
(/ (- x) (fma t z (- y)))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(/ (- x) (fma t z (- y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0181470
1581454
21592451
35001450

prune156.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x))
0.6b
(cbrt (- x))
1.5b
(/ (cbrt (- x)) (fma t z (- y)))
2.1b
(* (* (cbrt (- x)) (cbrt (- x))) (/ (cbrt (- x)) (fma t z (- y))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
91×cbrt-prod
80×times-frac
71×add-sqr-sqrt
66×add-cube-cbrt *-un-lft-identity
43×associate-*r*
27×distribute-lft-neg-in distribute-rgt-neg-in
18×add-exp-log
13×associate-/l*
11×add-cbrt-cube
9×pow1 neg-mul-1
6×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp pow-prod-down associate-/r* unswap-sqr
2×pow1/3 div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 177
Calls
4 calls:
2.0ms
(cbrt (- x))
2.0ms
(cbrt (- x))
5.0ms
(/ (cbrt (- x)) (fma t z (- y)))
22.0ms
(* (* (cbrt (- x)) (cbrt (- x))) (/ (cbrt (- x)) (fma t z (- y))))

series613.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt (- x))
192.0ms
(cbrt (- x))
134.0ms
(/ (cbrt (- x)) (fma t z (- y)))
91.0ms
(* (* (cbrt (- x)) (cbrt (- x))) (/ (cbrt (- x)) (fma t z (- y))))

simplify68.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04881802
125531683
250021636

prune616.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 3.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x))
0.7b
(* (cbrt (- x)) (* (cbrt (- x)) (/ (cbrt (- x)) (fma t z (- y)))))
1.5b
(/ (cbrt (- x)) (fma t z (- y)))
1.5b
(* (cbrt (- x)) (/ (cbrt (- x)) (fma t z (- y))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
105×cbrt-prod
87×add-sqr-sqrt
82×times-frac
71×add-cube-cbrt *-un-lft-identity
44×associate-*r*
30×distribute-lft-neg-in distribute-rgt-neg-in
26×associate-*l*
20×add-exp-log
13×associate-/l*
11×pow1
10×neg-mul-1 add-cbrt-cube
7×prod-exp cbrt-unprod
6×unswap-sqr
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×cbrt-undiv associate-*r/ div-exp associate-/r*
2×*-commutative div-inv
1×frac-2neg pow1/3 clear-num
Counts
4 → 200
Calls
4 calls:
2.0ms
(cbrt (- x))
13.0ms
(* (cbrt (- x)) (* (cbrt (- x)) (/ (cbrt (- x)) (fma t z (- y)))))
9.0ms
(/ (cbrt (- x)) (fma t z (- y)))
19.0ms
(* (cbrt (- x)) (/ (cbrt (- x)) (fma t z (- y))))

series641.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(cbrt (- x))
95.0ms
(* (cbrt (- x)) (* (cbrt (- x)) (/ (cbrt (- x)) (fma t z (- y)))))
135.0ms
(/ (cbrt (- x)) (fma t z (- y)))
201.0ms
(* (cbrt (- x)) (/ (cbrt (- x)) (fma t z (- y))))

simplify69.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04772023
120541852
250021788

prune638.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 3.3b

regimes231.0ms

Accuracy

0% (0.0b remaining)

Error of 2.7b against oracle of 2.6b and baseline of 2.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample411.0ms

Algorithm
intervals
Results
207.0ms8395×body80valid