Details

Time bar (total: 5.4s)

sample26.0ms

Algorithm
intervals
Results
11.0ms266×body80valid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1405
2845
32005
44635
57085
612615
718545
824465
928115
1028135
1128135

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
8.7b
(/ x (* (- y z) (- y t)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
23.0ms
(* (- y z) (- y t))
8.0ms
(/ x (* (- y z) (- y t)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- y z) (- y t))
57.0ms
(/ x (* (- y z) (- y t)))

simplify52.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0390703
11853534
25003534

prune198.0ms

Filtered
91 candidates to 57 candidates (62.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
8.7b
(/ x (+ (* (- y z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t 1)))) (* (- y z) (fma (- t) 1 t))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
9×cbrt-prod
8×associate-*l/
6×add-exp-log associate-/r/ add-cbrt-cube
4×pow1 expm1-log1p-u flip3-- frac-add associate-/r* flip-- log1p-expm1-u distribute-lft-out add-log-exp
3×pow1/3 associate-/l*
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
4 → 78
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
10.0ms
(/ x (+ (* (- y z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t 1)))) (* (- y z) (fma (- t) 1 t))))

series2.3s

Counts
4 → 12
Calls
4 calls:
232.0ms
(cbrt y)
181.0ms
(cbrt y)
186.0ms
(cbrt y)
1.7s
(/ x (+ (* (- y z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* t 1)))) (* (- y z) (fma (- t) 1 t))))

simplify50.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03241024
11320902
25001849

prune382.0ms

Filtered
90 candidates to 78 candidates (86.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
0.9b
(/ (/ x (- y z)) (- y t))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
6.0ms
(/ x (- y z))
21.0ms
(/ (/ x (- y z)) (- y t))

series91.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ x (- y z))
63.0ms
(/ (/ x (- y z)) (- y t))

simplify62.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06481751
123351707
250031707

prune447.0ms

Filtered
195 candidates to 133 candidates (68.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1 (- y z)) (- y t))
8.4b
(* x (/ (/ 1 (- y z)) (- y t)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
380×times-frac
310×add-sqr-sqrt
299×*-un-lft-identity
146×add-cube-cbrt
111×associate-*r*
76×distribute-lft-out-- difference-of-squares
26×add-exp-log associate-/r/
21×associate-/l*
16×add-cbrt-cube
13×flip3-- flip-- div-inv
12×div-exp
6×cbrt-undiv
5×prod-exp associate-/r*
4×pow1 unswap-sqr
3×associate-*l* cbrt-unprod
2×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 290
Calls
2 calls:
17.0ms
(/ (/ 1 (- y z)) (- y t))
57.0ms
(* x (/ (/ 1 (- y z)) (- y t)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ (/ 1 (- y z)) (- y t))
62.0ms
(* x (/ (/ 1 (- y z)) (- y t)))

simplify97.0ms

Algorithm
egg-herbie
Counts
296 → 296
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
09242579
141832357
250012143

prune551.0ms

Filtered
296 candidates to 151 candidates (51.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample467.0ms

Algorithm
intervals
Results
244.0ms8452×body80valid