Details

Time bar (total: 4.6s)

sample20.0ms

Algorithm
intervals
Results
8.0ms282×body80valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) t)
12.8b
(/ (* (- y z) t) (- a z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*l* associate-/r*
4×pow1 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/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
9.0ms
(* (- y z) t)
9.0ms
(/ (* (- y z) t) (- a z))

series93.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- y z) t)
62.0ms
(/ (* (- y z) t) (- a z))

simplify34.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0256263
11188226
25001226

prune129.0ms

Filtered
57 candidates to 40 candidates (70.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
3.3b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite49.0ms

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))
35.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series762.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (- a z))
193.0ms
(cbrt (- a z))
327.0ms
(cbrt (- a z))
98.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify68.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06071409
125871256
250031191

prune436.0ms

Filtered
134 candidates to 108 candidates (80.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

3.3b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))
5.1b
(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z)))))
5.1b
(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z)))))
5.1b
(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z)))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
36×times-frac
30×associate-*r*
29×*-un-lft-identity
25×add-exp-log
23×cbrt-div
21×add-cube-cbrt
20×cbrt-prod
18×add-cbrt-cube
17×associate-*l*
10×associate-/r/
8×frac-times prod-exp cbrt-unprod
7×cbrt-undiv flip3-- div-exp flip--
6×pow1 associate-*r/ associate-*l/ unswap-sqr
4×distribute-lft-out-- add-log-exp difference-of-squares
3×pow1/3
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 113
Calls
4 calls:
32.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))
18.0ms
(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z)))))
18.0ms
(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z)))))
19.0ms
(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z)))))

series954.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))
284.0ms
(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z)))))
284.0ms
(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z)))))
291.0ms
(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z)))))

simplify72.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06691808
128141595
250011494

prune536.0ms

Filtered
125 candidates to 105 candidates (84.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

12.1b
(/ (- y z) (/ (- a z) t))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
185×times-frac
151×add-sqr-sqrt *-un-lft-identity
75×add-cube-cbrt
38×distribute-lft-out-- difference-of-squares
19×associate-/r*
7×div-inv
6×add-exp-log add-cbrt-cube
5×associate-/l*
3×cbrt-undiv div-exp
2×associate-/l/
1×pow1 flip3-- frac-2neg div-sub clear-num associate-/r/ flip-- add-log-exp
Counts
1 → 137
Calls
1 calls:
11.0ms
(/ (- y z) (/ (- a z) t))

series96.0ms

Counts
1 → 3
Calls
1 calls:
96.0ms
(/ (- y z) (/ (- a z) t))

simplify63.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
06581411
124891370
250011369

prune311.0ms

Filtered
140 candidates to 90 candidates (64.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes165.0ms

Accuracy

47.6% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.4b

bsearch62.0ms

Steps
ItersRangePoint
6
4.041247852933616e-72
1.813385397313334e-71
4.887361392205085e-72
5
-1.2488069796821649e-173
-5.238993946265263e-174
-9.490691805638607e-174

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03322
13322

end0.0ms

sample547.0ms

Algorithm
intervals
Results
272.0ms8774×body80valid
0.0ms1×body1280valid