Details

Time bar (total: 3.5s)

sample19.0ms

Algorithm
intervals
Results
7.0ms264×body80valid

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
10.2b
(/ x (* (- y z) (- y t)))

rewrite62.0ms

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:
41.0ms
(* (- y z) (- y t))
17.0ms
(/ x (* (- y z) (- y t)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (- y z) (- y t))
65.0ms
(/ x (* (- y z) (- y t)))

simplify50.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0390703
11853534
25003534

prune193.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
0.6b
(/ 1 (* (- y z) (- y t)))
9.9b
(* x (/ 1 (* (- y z) (- y t))))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
30×add-sqr-sqrt
26×*-un-lft-identity
22×add-cube-cbrt
20×associate-*r*
19×add-cbrt-cube
18×flip3-- prod-diff flip--
16×associate-/r/
14×prod-exp
12×frac-times
11×distribute-rgt-in distribute-lft-in
10×pow1
8×div-exp associate-*l*
7×associate-*r/
6×times-frac associate-*l/ cbrt-unprod
4×cbrt-undiv rec-exp 1-exp
3×expm1-log1p-u pow-prod-down log1p-expm1-u associate-/l* add-log-exp
2×sub-neg pow-flip *-commutative div-inv distribute-lft-out-- difference-of-squares unswap-sqr
1×frac-2neg clear-num associate-/r* un-div-inv inv-pow
Counts
3 → 134
Calls
3 calls:
38.0ms
(* (- y z) (- y t))
32.0ms
(/ 1 (* (- y z) (- y t)))
80.0ms
(* x (/ 1 (* (- y z) (- y t))))

series166.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(* (- y z) (- y t))
69.0ms
(/ 1 (* (- y z) (- y t)))
68.0ms
(* x (/ 1 (* (- y z) (- y t))))

simplify73.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05151000
12682783
25002773

prune281.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.0b
(/ (/ x (- y z)) (- y t))

rewrite52.0ms

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:
11.0ms
(/ x (- y z))
29.0ms
(/ (/ x (- y z)) (- y t))

series98.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ x (- y z))
68.0ms
(/ (/ x (- y z)) (- y t))

simplify68.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06481751
123351707
250031707

prune459.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y z) (- y t))
0.1b
(pow (/ x (* (- y z) (- y t))) 3)
10.2b
(/ x (* (- y z) (- y t)))
23.4b
(cbrt (pow (/ x (* (- y z) (- y t))) 3))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
40×associate-/r/
36×cbrt-prod add-sqr-sqrt flip3-- flip--
34×*-un-lft-identity
30×add-cube-cbrt unpow-prod-down cube-prod
24×frac-times
18×prod-diff
17×add-exp-log add-cbrt-cube
15×times-frac
12×associate-*r/ associate-*l/
11×distribute-rgt-in distribute-lft-in
7×pow1
5×associate-*r* associate-*l* div-inv
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×pow-unpow pow-exp prod-exp cbrt-unprod associate-/l* rem-cube-cbrt
2×cube-div cube-mult sub-neg unpow3 distribute-lft-out-- difference-of-squares sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 pow-prod-down clear-num associate-/r* *-commutative rem-cbrt-cube unswap-sqr
Counts
4 → 187
Calls
4 calls:
37.0ms
(* (- y z) (- y t))
27.0ms
(pow (/ x (* (- y z) (- y t))) 3)
17.0ms
(/ x (* (- y z) (- y t)))
14.0ms
(cbrt (pow (/ x (* (- y z) (- y t))) 3))

series281.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (- y z) (- y t))
110.0ms
(pow (/ x (* (- y z) (- y t))) 3)
66.0ms
(/ x (* (- y z) (- y t)))
76.0ms
(cbrt (pow (/ x (* (- y z) (- y t))) 3))

simplify104.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
06761557
136431357
250011349

prune434.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample508.0ms

Algorithm
intervals
Results
218.0ms8401×body80valid