Details

Time bar (total: 5.9s)

sample21.0ms

Algorithm
intervals
Results
9.0ms275×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0175
1355
2605
3965
41405
51745
62025
72425
82895
93835
105235
118185
128615
138635
148635

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y z) t) (- a z)))
0.0b
(* (- y z) t)
11.3b
(/ (* (- y z) t) (- a z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-*l* associate-/r* add-log-exp
4×associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ 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* unswap-sqr
Counts
3 → 63
Calls
3 calls:
7.0ms
(+ x (/ (* (- y z) t) (- a z)))
6.0ms
(* (- y z) t)
9.0ms
(/ (* (- y z) t) (- a z))

series167.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(+ x (/ (* (- y z) t) (- a z)))
28.0ms
(* (- y z) t)
64.0ms
(/ (* (- y z) t) (- a z))

simplify40.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326368
11401329
25001329

prune184.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
3.5b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
38×*-un-lft-identity
36×times-frac
32×cbrt-prod
30×associate-*r*
25×add-exp-log
24×add-cube-cbrt
20×cbrt-div
18×add-cbrt-cube
17×associate-*l*
10×flip3-- associate-/r/ flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 122
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
29.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series740.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (- a z))
150.0ms
(cbrt (- a z))
345.0ms
(cbrt (- a z))
97.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify74.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06071409
125871256
250031191

prune484.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
1.6b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt t) (cbrt t)) (cbrt 1)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
28×add-sqr-sqrt
22×add-cbrt-cube
21×times-frac
17×associate-*l*
16×cbrt-prod *-un-lft-identity
15×prod-exp cbrt-unprod
12×cbrt-undiv add-cube-cbrt cbrt-div div-exp
10×associate-*r*
8×associate-/r/ unswap-sqr
6×pow1 flip3-- flip--
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 98
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
24.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt t) (cbrt t)) (cbrt 1)))

series778.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt t)
181.0ms
(cbrt t)
187.0ms
(cbrt t)
227.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt t) (cbrt t)) (cbrt 1)))

simplify67.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05951271
124151016
25001987

prune456.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (/ t (cbrt (- a z)))) (cbrt (/ t (cbrt (- a z))))))
4.3b
(cbrt (/ t (cbrt (- a z))))
4.3b
(cbrt (/ t (cbrt (- a z))))
4.3b
(cbrt (/ t (cbrt (- a z))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
135×cbrt-prod
78×times-frac
73×add-sqr-sqrt
71×*-un-lft-identity
51×add-cube-cbrt
29×cbrt-div
25×add-exp-log
17×associate-*l*
15×add-cbrt-cube
14×associate-/r/
11×prod-exp cbrt-unprod
10×distribute-lft-out-- difference-of-squares
9×pow1 frac-times flip3-- flip--
7×associate-*r/
5×associate-*l/
4×cbrt-undiv div-exp div-inv add-log-exp
3×pow1/3 pow-prod-down
2×unswap-sqr
1×associate-*r* *-commutative
Counts
4 → 166
Calls
4 calls:
39.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (/ t (cbrt (- a z)))) (cbrt (/ t (cbrt (- a z))))))
6.0ms
(cbrt (/ t (cbrt (- a z))))
7.0ms
(cbrt (/ t (cbrt (- a z))))
6.0ms
(cbrt (/ t (cbrt (- a z))))

series885.0ms

Counts
4 → 12
Calls
4 calls:
285.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (/ t (cbrt (- a z)))) (cbrt (/ t (cbrt (- a z))))))
199.0ms
(cbrt (/ t (cbrt (- a z))))
200.0ms
(cbrt (/ t (cbrt (- a z))))
201.0ms
(cbrt (/ t (cbrt (- a z))))

simplify71.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06772325
122922126
250022084

prune785.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes254.0ms

Accuracy

70% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02723
12723

end0.0ms

sample568.0ms

Algorithm
intervals
Results
297.0ms8705×body80valid
0.0ms1×body1280valid
0.0ms1×body160valid