Details

Time bar (total: 2.5s)

sample14.0ms

Algorithm
intervals
Results
6.0ms301×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1223
2423
3613
4863
5973
63883
729173
850013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.7b
(/ (* x (- y z)) y)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
11.0ms
(* x (- y z))
7.0ms
(/ (* x (- y z)) y)

series85.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* x (- y z))
47.0ms
(/ (* x (- y z)) y)

simplify31.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0219218
11044189
25001189

prune83.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
8.0ms
(/ (- y z) y)
16.0ms
(* x (/ (- y z) y))

series79.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (- y z) y)
46.0ms
(* x (/ (- y z) y))

simplify36.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0264396
11187365
25001364

prune135.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.8b
(* x (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt y) (cbrt y))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×pow1
5×associate-*r*
4×cbrt-undiv div-exp add-log-exp
3×pow1/3 associate-*l*
2×times-frac unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 63
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
32.0ms
(* x (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt y) (cbrt y))))

series721.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt y)
182.0ms
(cbrt y)
174.0ms
(cbrt y)
167.0ms
(* x (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt y) (cbrt y))))

simplify41.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0265527
11279420
25001383

prune220.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
5.0ms
(/ y (- y z))
10.0ms
(/ x (/ y (- y z)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ y (- y z))
51.0ms
(/ x (/ y (- y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04721043
122201007
250011004

prune280.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes92.0ms

Accuracy

42% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02627
12627

end0.0ms

sample375.0ms

Algorithm
intervals
Results
191.0ms9503×body80valid