Details

Time bar (total: 4.4s)

sample21.0ms

Algorithm
intervals
Results
9.0ms335×body80valid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1254
2584
3964
41314
51554
61794
73104
86434
911714
1024824
1137744
1250024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.9b
(* (- y x) (/ z t))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ z t)))
12.0ms
(* (- y x) (/ z t))

series81.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (* (- y x) (/ z t)))
44.0ms
(* (- y x) (/ z t))

simplify45.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0296310
11245287
25001275

prune135.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
10.4b
(cbrt (/ z t))
10.4b
(cbrt (/ z t))
10.4b
(cbrt (/ z t))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
29×add-sqr-sqrt
28×*-un-lft-identity
27×times-frac
26×add-cube-cbrt
15×cbrt-div
9×pow1 add-exp-log frac-times
7×add-cbrt-cube
6×associate-*r/
5×associate-*l* associate-*l/
4×flip3-- flip-- add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod div-inv
1×associate-*r* *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 98
Calls
4 calls:
13.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))
3.0ms
(cbrt (/ z t))

series325.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
63.0ms
(cbrt (/ z t))
66.0ms
(cbrt (/ z t))
68.0ms
(cbrt (/ z t))

simplify86.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
0338774
1926705
23350693
35001669

prune351.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
1.7b
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
10.4b
(cbrt (/ z t))
10.4b
(cbrt (/ z t))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
23×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
18×times-frac
14×cbrt-div
9×pow1 add-exp-log frac-times
7×add-cbrt-cube
6×associate-*r/
5×associate-*l* associate-*l/
4×flip3-- flip-- add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
2×div-inv
1×associate-*r* *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 87
Calls
4 calls:
1.0ms
(cbrt z)
14.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms
(cbrt (/ z t))
3.0ms
(cbrt (/ z t))

series440.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt z)
124.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
67.0ms
(cbrt (/ z t))
69.0ms
(cbrt (/ z t))

simplify109.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0367666
11065595
24201583
35002566

prune354.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
1.7b
(* (- y x) (* (* (cbrt (/ 1 (* (cbrt t) (cbrt t)))) (cbrt (/ z (cbrt t)))) (cbrt (/ z t))))
3.8b
(cbrt (/ z (cbrt t)))
10.4b
(cbrt (/ z t))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
47×cbrt-prod
38×cbrt-div
29×frac-times
28×add-sqr-sqrt *-un-lft-identity
27×times-frac
26×add-cube-cbrt
17×associate-*l/
16×associate-*r/
13×pow1 add-exp-log
9×add-cbrt-cube
8×flip3-- flip--
6×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×add-log-exp
3×pow1/3
2×div-inv
1×associate-*r* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt z)
23.0ms
(* (- y x) (* (* (cbrt (/ 1 (* (cbrt t) (cbrt t)))) (cbrt (/ z (cbrt t)))) (cbrt (/ z t))))
3.0ms
(cbrt (/ z (cbrt t)))
2.0ms
(cbrt (/ z t))

series554.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt z)
129.0ms
(* (- y x) (* (* (cbrt (/ 1 (* (cbrt t) (cbrt t)))) (cbrt (/ z (cbrt t)))) (cbrt (/ z t))))
176.0ms
(cbrt (/ z (cbrt t)))
62.0ms
(cbrt (/ z t))

simplify68.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06251291
122931163
250011157

prune588.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes251.0ms

Accuracy

22.7% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.0b

bsearch110.0ms

Steps
ItersRangePoint
9
2.03575469983109e-112
9.748427019225516e-107
1.4493129888661283e-108
8
-6.784538403354215e-220
-1.3385853285654345e-222
-1.7719967109755303e-221

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04325
14325

end0.0ms

sample578.0ms

Algorithm
intervals
Results
315.0ms10672×body80valid