Details

Time bar (total: 4.1s)

sample22.0ms

Algorithm
intervals
Results
8.0ms352×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1363
2803
31233
41413
51433
61433

prune4.0ms

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:
21.0ms
(* y (- x z))
37.0ms
(* t (* y (- x z)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* y (- x z))
49.0ms
(* t (* y (- x z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04021084
11572663
25001645

prune128.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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)

rewrite116.0ms

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:
46.0ms
(* 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)

series532.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* t (+ (* 1 (pow (cbrt x) 3)) (- z)))
189.0ms
(cbrt x)
217.0ms
(pow (cbrt x) 3)
70.0ms
(* (* t (+ (* 1 (pow (cbrt x) 3)) (- z))) y)

simplify77.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0366497
12141355
25002351

prune300.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r*
7×add-sqr-sqrt *-un-lft-identity
5×add-cube-cbrt
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-+ associate-*l/ *-commutative flip-+ log1p-expm1-u distribute-lft-out add-log-exp
1×distribute-rgt-in distribute-rgt-neg-in distribute-lft-in unswap-sqr
Counts
2 → 48
Calls
2 calls:
38.0ms
(* t (+ (* 1 (pow x 1)) (- z)))
57.0ms
(* (* t (+ (* 1 (pow x 1)) (- z))) y)

series85.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* t (+ (* 1 (pow x 1)) (- z)))
48.0ms
(* (* t (+ (* 1 (pow x 1)) (- z))) y)

simplify44.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0254336
11281239
25002238

prune161.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite323.0ms

Algorithm
rewrite-expression-head
Rules
68×associate-*r/
60×cbrt-div
40×associate-*l/
30×flip3-+ flip-+
28×frac-times
13×pow1 add-exp-log
9×add-cbrt-cube
6×pow-prod-down prod-exp 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 associate-*r*
1×associate-*l* *-commutative
Counts
4 → 88
Calls
4 calls:
275.0ms
(* (* (* (cbrt (* t (+ (* 1 (pow x 1)) (- z)))) (cbrt (* t (+ (* 1 (pow x 1)) (- z))))) (cbrt (* t (+ (* 1 (pow x 1)) (- z))))) y)
13.0ms
(cbrt (* t (+ (* 1 (pow x 1)) (- z))))
16.0ms
(cbrt (* t (+ (* 1 (pow x 1)) (- z))))
14.0ms
(cbrt (* t (+ (* 1 (pow x 1)) (- z))))

series579.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(* (* (* (cbrt (* t (+ (* 1 (pow x 1)) (- z)))) (cbrt (* t (+ (* 1 (pow x 1)) (- z))))) (cbrt (* t (+ (* 1 (pow x 1)) (- z))))) y)
167.0ms
(cbrt (* t (+ (* 1 (pow x 1)) (- z))))
165.0ms
(cbrt (* t (+ (* 1 (pow x 1)) (- z))))
170.0ms
(cbrt (* t (+ (* 1 (pow x 1)) (- z))))

simplify53.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04511784
115291536
250021340

prune378.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

regimes223.0ms

Accuracy

62.1% (2.6b remaining)

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

bsearch68.0ms

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
03917
14117
24117

end0.0ms

sample592.0ms

Algorithm
intervals
Results
245.0ms10693×body80valid