Details

Time bar (total: 3.4s)

sample32.0ms

Algorithm
intervals
Results
20.0ms332×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1363
2803
31233
41413
51433
61433

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z y))
5.4b
(* (- (* x y) (* z y)) t)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×expm1-log1p-u flip3-- distribute-rgt-out-- associate-*l/ flip-- log1p-expm1-u
1×sub-neg fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
3.0ms
(- (* x y) (* z y))
11.0ms
(* (- (* x y) (* z y)) t)

series78.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- (* x y) (* z y))
46.0ms
(* (- (* x y) (* z y)) t)

simplify102.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0173232
1656199
23963195
35001195

prune110.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
5.4b
(* (* y (- x z)) t)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×*-un-lft-identity
18×prod-diff
17×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r*
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u sub-neg flip3-- associate-*l/ *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 68
Calls
2 calls:
13.0ms
(* y (- x z))
15.0ms
(* (* y (- x z)) t)

series76.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* y (- x z))
38.0ms
(* (* y (- x z)) t)

simplify40.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0274470
11269313
25001307

prune111.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))
5.4b
(* (* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z))) t)

rewrite358.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
40×associate-*l/
32×associate-*r/
30×flip3-- flip--
28×frac-times
18×pow1 add-exp-log
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
13×add-cbrt-cube
10×pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* distribute-lft-out-- difference-of-squares
1×associate-*l* *-commutative
Counts
4 → 103
Calls
4 calls:
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))
345.0ms
(* (* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z))) t)

series492.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (- x z))
149.0ms
(cbrt (- x z))
157.0ms
(cbrt (- x z))
42.0ms
(* (* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z))) t)

simplify61.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05521060
11872921
25001847

prune304.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
6.2b
(* y (* (- x z) t))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*l*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*r/ *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
11.0ms
(* (- x z) t)
14.0ms
(* y (* (- x z) t))

series69.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (- x z) t)
42.0ms
(* y (* (- x z) t))

simplify106.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0190207
1802174
24832174
35001174

prune99.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes191.0ms

Accuracy

62% (2.7b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 7.2b

bsearch69.0ms

Steps
ItersRangePoint
8
6.881494951335419e-24
2.5675937259375084e-20
1.9766678866402362e-21
6
-5.180455765418966e-81
-1.2100297264613528e-81
-5.111908146558357e-81

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0226
1226

end0.0ms

sample947.0ms

Algorithm
intervals
Results
669.0ms10558×body80valid