Details

Time bar (total: 3.7s)

sample18.0ms

Algorithm
intervals
Results
6.0ms314×body80valid

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1223
2443
3703
41003
51173
64203
729763
850013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.9b
(/ (* x (- y z)) y)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u 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 → 71
Calls
2 calls:
25.0ms
(* x (- y z))
21.0ms
(/ (* x (- y z)) y)

series94.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* x (- y z))
52.0ms
(/ (* x (- y z)) y)

simplify51.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0299483
11416328
25001328

prune123.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
3.0b
(/ x (/ y (- y z)))

rewrite35.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
11.0ms
(/ y (- y z))
17.0ms
(/ x (/ y (- y z)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ y (- y z))
54.0ms
(/ x (/ y (- y z)))

simplify70.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
04791057
122391019
250021016

prune327.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.9b
(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt y) (cbrt y))) (/ x (/ (cbrt y) (cbrt (- y z)))))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
331×times-frac
222×add-sqr-sqrt
186×*-un-lft-identity
179×cbrt-prod
167×associate-*r*
150×add-cube-cbrt
73×add-exp-log
39×add-cbrt-cube
27×cbrt-undiv div-exp prod-exp cbrt-unprod
18×distribute-lft-out-- difference-of-squares
12×unswap-sqr
7×associate-/r/
6×pow1 cbrt-div
5×associate-*l* div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 267
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
158.0ms
(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt y) (cbrt y))) (/ x (/ (cbrt y) (cbrt (- y z)))))

series644.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt y)
187.0ms
(cbrt y)
183.0ms
(cbrt y)
79.0ms
(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt y) (cbrt y))) (/ x (/ (cbrt y) (cbrt (- y z)))))

simplify76.0ms

Algorithm
egg-herbie
Counts
279 → 279
Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
017024506
150024187

prune954.0ms

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 z) y)
3.4b
(* x (/ (- y z) y))

rewrite50.0ms

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 expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u 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 → 80
Calls
2 calls:
20.0ms
(/ (- y z) y)
27.0ms
(* x (/ (- y z) y))

series87.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (- y z) y)
51.0ms
(* x (/ (- y z) y))

simplify47.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0270409
11205378
25001377

prune165.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01315
11315

end0.0ms

sample463.0ms

Algorithm
intervals
Results
195.0ms9538×body80valid