Details

Time bar (total: 3.2s)

sample18.0ms

Algorithm
intervals
Results
7.0ms266×body80valid

simplify88.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
5.4b
(/ x (* (- y z) (- y t)))

rewrite33.0ms

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:
19.0ms
(* (- y z) (- y t))
8.0ms
(/ x (* (- y z) (- y t)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (- y z) (- y t))
55.0ms
(/ x (* (- y z) (- y t)))

simplify55.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0390703
11853534
25003534

prune187.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.7b
(/ (/ x (- y z)) (- y t))

rewrite37.0ms

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:
5.0ms
(/ x (- y z))
21.0ms
(/ (/ x (- y z)) (- y t))

series89.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ x (- y z))
61.0ms
(/ (/ x (- y z)) (- y t))

simplify64.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06481751
123351707
250031707

prune442.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.1b
(/ (/ 1 (- y z)) (- y t))
5.1b
(* x (/ (/ 1 (- y z)) (- y t)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
395×times-frac
329×add-sqr-sqrt
318×*-un-lft-identity
157×add-cube-cbrt
111×associate-*r*
80×distribute-lft-out-- difference-of-squares
31×add-exp-log
28×associate-/r/
24×associate-/l*
19×add-cbrt-cube
14×flip3-- div-exp flip-- div-inv
10×associate-/r*
7×cbrt-undiv
6×pow1
5×prod-exp
4×unswap-sqr
3×expm1-log1p-u rec-exp 1-exp associate-*l* cbrt-unprod log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×pow-flip associate-*r/ pow-prod-down *-commutative associate-/l/ inv-pow
Counts
3 → 333
Calls
3 calls:
6.0ms
(/ 1 (- y z))
17.0ms
(/ (/ 1 (- y z)) (- y t))
55.0ms
(* x (/ (/ 1 (- y z)) (- y t)))

series162.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (- y z))
64.0ms
(/ (/ 1 (- y z)) (- y t))
62.0ms
(* x (/ (/ 1 (- y z)) (- y t)))

simplify96.0ms

Algorithm
egg-herbie
Counts
342 → 342
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
09442776
143262534
250012298

prune585.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y t) (- y z))
0.4b
(/ 1 (* (- y t) (- y z)))
5.1b
(* x (/ 1 (* (- y t) (- y z))))

rewrite78.0ms

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:
22.0ms
(* (- y t) (- y z))
13.0ms
(/ 1 (* (- y t) (- y z)))
38.0ms
(* x (/ 1 (* (- y t) (- y z))))

series154.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(* (- y t) (- y z))
67.0ms
(/ 1 (* (- y t) (- y z)))
57.0ms
(* x (/ 1 (* (- y t) (- y z))))

simplify69.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05151000
12688783
25002773

prune279.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105

end0.0ms

sample431.0ms

Algorithm
intervals
Results
228.0ms8428×body80valid