Details

Time bar (total: 5.2s)

sample20.0ms

Algorithm
intervals
Results
8.0ms323×body80valid

simplify144.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0144
1273
2623
31123
41703
52133
62603
74503
88453
915323
1031383
1145873
1250013

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize7.0ms

Local error

Found 1 expressions with local error:

7.2b
(* (- y x) (/ z t))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×*-un-lft-identity
10×times-frac
add-cube-cbrt
add-exp-log add-cbrt-cube
associate-*l*
pow1
frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 40
Calls
1 calls:
15.0ms
(* (- y x) (/ z t))

series57.0ms

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

simplify44.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0242222
11043201
25001195

prune120.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.9b
(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-sqr-sqrt add-cbrt-cube
11×*-un-lft-identity
cbrt-prod add-cube-cbrt prod-exp cbrt-unprod
pow1
associate-*r* associate-*l*
cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
pow1/3
frac-times flip3-- times-frac associate-*l/ flip-- unswap-sqr
associate-*r/ pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 77
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
27.0ms
(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series788.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(cbrt z)
208.0ms
(cbrt z)
207.0ms
(cbrt z)
158.0ms
(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify69.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0398630
11701502
25003463

prune337.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
5.5b
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
30×times-frac
25×add-exp-log
24×*-un-lft-identity
22×add-cube-cbrt associate-*r*
20×cbrt-prod
18×add-cbrt-cube
associate-*l*
prod-exp cbrt-unprod
cbrt-undiv div-exp
pow1 unswap-sqr
expm1-log1p-u log1p-expm1-u add-log-exp
pow1/3
div-inv
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 102
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
32.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series746.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(cbrt t)
215.0ms
(cbrt t)
220.0ms
(cbrt t)
99.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify80.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0459851
12238696
25001661

prune389.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt t))
0.6b
(cbrt (cbrt t))
0.6b
(cbrt (cbrt t))
5.5b
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t)))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
38×add-cbrt-cube
27×cbrt-prod
25×prod-exp cbrt-unprod
20×add-sqr-sqrt
17×cbrt-undiv div-exp
16×*-un-lft-identity
14×add-cube-cbrt
times-frac associate-*l*
associate-*r*
pow1
expm1-log1p-u log1p-expm1-u add-log-exp
pow1/3
div-inv unswap-sqr
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt (cbrt t))
1.0ms
(cbrt (cbrt t))
1.0ms
(cbrt (cbrt t))
77.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t)))))

series964.0ms

Counts
4 → 12
Calls
4 calls:
287.0ms
(cbrt (cbrt t))
292.0ms
(cbrt (cbrt t))
286.0ms
(cbrt (cbrt t))
99.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t)))))

simplify73.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
04751412
12250978
25003879

prune376.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes213.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01714
11714

end0.0ms

sample556.0ms

Algorithm
intervals
Results
289.0ms10642×body80valid