Details

Time bar (total: 4.0s)

sample25.0ms

Algorithm
intervals
Results
10.0ms352×body80valid

simplify16.0ms

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: 7.3b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
7.0b
(* t (* y (- x z)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
45×add-sqr-sqrt
43×*-un-lft-identity
41×add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
24.0ms
(* y (- x z))
35.0ms
(* t (* y (- x z)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* y (- x z))
44.0ms
(* t (* y (- x z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04021084
11572663
25001645

prune117.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* t (+ (* 1 (pow (cbrt x) 3)) (- z)))
0.6b
(cbrt x)
0.8b
(pow (cbrt x) 3)
4.5b
(* (* t (+ (* 1 (pow (cbrt x) 3)) (- z))) y)

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
13×add-cube-cbrt
12×pow1 add-exp-log
11×add-cbrt-cube
9×cbrt-prod
8×associate-*r*
6×unpow-prod-down cube-prod
4×expm1-log1p-u associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow flip3-+ pow1/3 associate-*l/ *-commutative flip-+ distribute-lft-out
1×distribute-rgt-in cube-mult pow-to-exp distribute-rgt-neg-in distribute-lft-in unpow3 pow-exp rem-cube-cbrt unswap-sqr sqr-pow
Counts
4 → 93
Calls
4 calls:
43.0ms
(* t (+ (* 1 (pow (cbrt x) 3)) (- z)))
1.0ms
(cbrt x)
3.0ms
(pow (cbrt x) 3)
64.0ms
(* (* t (+ (* 1 (pow (cbrt x) 3)) (- z))) y)

series511.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* t (+ (* 1 (pow (cbrt x) 3)) (- z)))
172.0ms
(cbrt x)
212.0ms
(pow (cbrt x) 3)
67.0ms
(* (* t (+ (* 1 (pow (cbrt x) 3)) (- z))) y)

simplify78.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0366497
12141355
25002351

prune289.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
4.5b
(* (* 1 (* (- x z) t)) y)

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
13×pow1 add-cbrt-cube
12×prod-exp
9×add-sqr-sqrt
7×*-un-lft-identity pow-prod-down cbrt-unprod
6×associate-*r* associate-*l* associate-*l/
5×add-cube-cbrt
2×expm1-log1p-u flip3-- 1-exp associate-*r/ *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 51
Calls
2 calls:
22.0ms
(* (- x z) t)
92.0ms
(* (* 1 (* (- x z) t)) y)

series81.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* (- x z) t)
47.0ms
(* (* 1 (* (- x z) t)) y)

simplify36.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0263250
11035202
25001202

prune138.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

4.5b
(* (* 1 (* (* (cbrt (* (- x z) t)) (cbrt (* (- x z) t))) (cbrt (* (- x z) t)))) y)
6.7b
(cbrt (* (- x z) t))
6.7b
(cbrt (* (- x z) t))
6.7b
(cbrt (* (- x z) t))

rewrite472.0ms

Algorithm
rewrite-expression-head
Rules
100×associate-*l/
60×cbrt-div
34×associate-*r/
30×flip3-- flip--
28×frac-times
27×add-exp-log
19×prod-exp
18×pow1
14×add-cbrt-cube
10×pow-prod-down cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 1-exp associate-*r*
1×associate-*l* *-commutative
Counts
4 → 94
Calls
4 calls:
439.0ms
(* (* 1 (* (* (cbrt (* (- x z) t)) (cbrt (* (- x z) t))) (cbrt (* (- x z) t)))) y)
8.0ms
(cbrt (* (- x z) t))
8.0ms
(cbrt (* (- x z) t))
11.0ms
(cbrt (* (- x z) t))

series513.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* (* 1 (* (* (cbrt (* (- x z) t)) (cbrt (* (- x z) t))) (cbrt (* (- x z) t)))) y)
147.0ms
(cbrt (* (- x z) t))
142.0ms
(cbrt (* (- x z) t))
144.0ms
(cbrt (* (- x z) t))

simplify60.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
06421242
120161004
25001933

prune345.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

regimes212.0ms

Accuracy

62.1% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 6.9b

bsearch64.0ms

Steps
ItersRangePoint
9
7.622267412949973e+25
5.352451769654128e+34
1.7693630633187517e+28
7
-1.443373169043936e+24
-4.332305005488803e+22
-7.237150244124864e+22

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03615
13815
23815

end0.0ms

sample597.0ms

Algorithm
intervals
Results
250.0ms10693×body80valid