Details

Time bar (total: 3.3s)

sample21.0ms

Algorithm
intervals
Results
11.0ms267×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: 3.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.2b
(/ x (- y (* z t)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
fma-neg prod-diff associate-/r* associate-/l*
pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
2.0ms
(- y (* z t))
4.0ms
(/ x (- y (* z t)))

series65.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- y (* z t))
33.0ms
(/ x (- y (* z t)))

simplify53.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0180288
1538261
21859260
35001245

prune127.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.1b

localize7.0ms

Local error

Found 1 expressions with local error:

3.2b
(/ (- x) (fma t z (- y)))

rewrite9.0ms

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*
neg-mul-1
add-exp-log associate-/r* add-cbrt-cube
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:
7.0ms
(/ (- x) (fma t z (- y)))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(/ (- x) (fma t z (- y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
0181470
1581454
21592451
35001450

prune154.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ -1 (/ (fma t z (- y)) x))
3.1b
(/ (fma t z (- y)) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
add-exp-log add-cbrt-cube
div-inv associate-/l*
cbrt-undiv div-exp
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
associate-/r/
Counts
2 → 101
Calls
2 calls:
5.0ms
(/ -1 (/ (fma t z (- y)) x))
2.0ms
(/ (fma t z (- y)) x)

series107.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ -1 (/ (fma t z (- y)) x))
60.0ms
(/ (fma t z (- y)) x)

simplify49.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0349875
11381828
25001765

prune224.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
1.0b
(/ -1 (/ (fma t z (- y)) (cbrt x)))
1.3b
(/ (fma t z (- y)) (cbrt x))
1.8b
(* (* (cbrt x) (cbrt x)) (/ -1 (/ (fma t z (- y)) (cbrt x))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
281×times-frac
166×add-sqr-sqrt
157×add-cube-cbrt *-un-lft-identity
79×cbrt-prod
71×associate-*r*
32×add-exp-log
28×associate-/r*
22×add-cbrt-cube
10×cbrt-undiv div-exp div-inv
pow1 prod-exp cbrt-unprod
associate-/l*
expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down
frac-2neg clear-num associate-/r/
pow1/3 associate-*r/ associate-*l* *-commutative
Counts
4 → 263
Calls
4 calls:
0.0ms
(cbrt x)
7.0ms
(/ -1 (/ (fma t z (- y)) (cbrt x)))
6.0ms
(/ (fma t z (- y)) (cbrt x))
35.0ms
(* (* (cbrt x) (cbrt x)) (/ -1 (/ (fma t z (- y)) (cbrt x))))

series527.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt x)
138.0ms
(/ -1 (/ (fma t z (- y)) (cbrt x)))
145.0ms
(/ (fma t z (- y)) (cbrt x))
60.0ms
(* (* (cbrt x) (cbrt x)) (/ -1 (/ (fma t z (- y)) (cbrt x))))

simplify52.0ms

Algorithm
egg-herbie
Counts
275 → 275
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
09902912
150022634

prune918.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 3.1b

regimes210.0ms

Accuracy

0% (0.1b remaining)

Error of 2.8b against oracle of 2.8b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample571.0ms

Algorithm
intervals
Results
364.0ms8336×body80valid