Details

Time bar (total: 3.2s)

sample22.0ms

Algorithm
intervals
Results
10.0ms344×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1363
2803
31233
41413
51433
61433

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.6b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
6.3b
(* t (* y (- x z)))

rewrite24.0ms

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:
7.0ms
(* y (- x z))
9.0ms
(* t (* y (- x z)))

series74.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* y (- x z))
40.0ms
(* t (* y (- x z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04021084
11572663
25001645

prune115.0ms

Filtered
118 candidates to 43 candidates (36.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1099118
Fresh101
Picked011
Done000
Total11010120

Merged error: 0.0b

Counts
120 → 10

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)
4.7b
(* (* t (+ (* 1 (pow (cbrt x) 3)) (- z))) y)

rewrite27.0ms

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:
10.0ms
(* t (+ (* 1 (pow (cbrt x) 3)) (- z)))
1.0ms
(cbrt x)
3.0ms
(pow (cbrt x) 3)
11.0ms
(* (* t (+ (* 1 (pow (cbrt x) 3)) (- z))) y)

series539.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* t (+ (* 1 (pow (cbrt x) 3)) (- z)))
206.0ms
(cbrt x)
211.0ms
(pow (cbrt x) 3)
64.0ms
(* (* t (+ (* 1 (pow (cbrt x) 3)) (- z))) y)

simplify75.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0366497
12141355
25002351

prune252.0ms

Filtered
105 candidates to 70 candidates (66.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1023105
Fresh448
Picked101
Done011
Total1078115

Merged error: 0b

Counts
115 → 8

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
4.7b
(* (* (- x z) t) y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×associate-*r* associate-*l* associate-*l/
5×add-cube-cbrt
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 → 46
Calls
2 calls:
6.0ms
(* (- x z) t)
7.0ms
(* (* (- x z) t) y)

series72.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (- x z) t)
46.0ms
(* (* (- x z) t) y)

simplify30.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0194207
1867174
25002174

prune112.0ms

Filtered
52 candidates to 35 candidates (67.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New52052
Fresh066
Picked011
Done011
Total52860

Merged error: 0b

Counts
60 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
4.7b
(* (* (* (cbrt t) (cbrt t)) (* (- x z) (cbrt t))) y)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1 add-exp-log
16×add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×pow1/3 associate-*r*
2×associate-*r/
1×flip3-- associate-*l* *-commutative flip--
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
14.0ms
(* (* (* (cbrt t) (cbrt t)) (* (- x z) (cbrt t))) y)

series624.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt t)
181.0ms
(cbrt t)
181.0ms
(cbrt t)
70.0ms
(* (* (* (cbrt t) (cbrt t)) (* (- x z) (cbrt t))) y)

simplify52.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0295481
11425376
25002328

prune205.0ms

Filtered
82 candidates to 60 candidates (73.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh055
Picked011
Done022
Total82890

Merged error: 0b

Counts
90 → 8

regimes174.0ms

Accuracy

62.3% (2.8b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 7.5b

bsearch77.0ms

Steps
ItersRangePoint
6
2.477210720966983e+20
3.166634511854166e+21
2.519436454971115e+20
10
-6.709986515861993e+106
-4.77075723409721e+93
-4.8597451005362995e+93

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03414
13414

end0.0ms

sample594.0ms

Algorithm
intervals
Results
330.0ms10715×body80valid

Profiling

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