Details

Time bar (total: 3.6s)

sample23.0ms

Algorithm
intervals
Results
10.0ms337×body80valid

simplify127.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0144
1284
2513
3903
41503
52143
63083
74473
85503
98653
1012313
1117253
1227283
1344663
1450013

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) z)
0.0b
(+ x (/ (* (- y x) z) t))
5.7b
(/ (* (- y x) z) t)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
8×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×expm1-log1p-u fma-def times-frac associate-*r* associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 66
Calls
3 calls:
6.0ms
(* (- y x) z)
5.0ms
(+ x (/ (* (- y x) z) t))
7.0ms
(/ (* (- y x) z) t)

series106.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (- y x) z)
37.0ms
(+ x (/ (* (- y x) z) t))
42.0ms
(/ (* (- y x) z) t)

simplify39.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0296337
11154289
25002284

prune131.0ms

Filtered
75 candidates to 55 candidates (73.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New72375
Fresh011
Picked011
Done000
Total72577

Merged error: 0.0b

Counts
77 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
8.0b
(/ (- y x) (/ t z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
89×*-un-lft-identity
87×add-sqr-sqrt
59×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv fma-def div-exp
2×pow1 expm1-log1p-u div-sub log1p-expm1-u associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 121
Calls
2 calls:
21.0ms
(+ x (/ (- y x) (/ t z)))
9.0ms
(/ (- y x) (/ t z))

series79.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (/ (- y x) (/ t z)))
42.0ms
(/ (- y x) (/ t z))

simplify60.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0618976
12232923
25001920

prune227.0ms

Filtered
127 candidates to 93 candidates (73.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1261127
Fresh033
Picked011
Done011
Total1266132

Merged error: 0b

Counts
132 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
8.2b
(* (- y x) (/ z t))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
3×fma-def
2×expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 56
Calls
2 calls:
4.0ms
(+ x (* (- y x) (/ z t)))
9.0ms
(* (- y x) (/ z t))

series80.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ x (* (- y x) (/ z t)))
41.0ms
(* (- y x) (/ z t))

simplify43.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0306327
11283301
25002286

prune115.0ms

Filtered
62 candidates to 46 candidates (74.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New62062
Fresh033
Picked011
Done022
Total62668

Merged error: 0b

Counts
68 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))
3.6b
(/ (cbrt (- y x)) (/ t z))
4.4b
(* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ t z)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
367×times-frac
249×add-sqr-sqrt
238×*-un-lft-identity
180×add-cube-cbrt
147×cbrt-prod
109×associate-*r*
30×add-exp-log cbrt-div
29×distribute-lft-out-- difference-of-squares
19×div-inv
18×add-cbrt-cube
16×frac-times
15×flip3-- flip--
13×associate-/r*
12×associate-*l/
9×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
8×associate-/l*
5×associate-*r/ unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down
2×pow1/3 associate-/r/ associate-/l/
1×frac-2neg associate-*l* clear-num *-commutative
Counts
4 → 334
Calls
4 calls:
3.0ms
(cbrt (- y x))
3.0ms
(cbrt (- y x))
9.0ms
(/ (cbrt (- y x)) (/ t z))
36.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ t z)))

series666.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (- y x))
151.0ms
(cbrt (- y x))
327.0ms
(/ (cbrt (- y x)) (/ t z))
42.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ t z)))

simplify77.0ms

Algorithm
egg-herbie
Counts
346 → 346
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
013703848
150013713

prune886.0ms

Filtered
346 candidates to 276 candidates (79.8%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3460346
Fresh022
Picked011
Done033
Total3466352

Merged error: 0b

Counts
352 → 6

regimes154.0ms

Accuracy

27.1% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.9b

bsearch3.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02115
12115

end0.0ms

sample608.0ms

Algorithm
intervals
Results
337.0ms10614×body80valid