Details

Time bar (total: 10.2s)

sample18.0ms

Algorithm
intervals
Results
8.0ms278×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.2b
(/ (* z (- y t)) 2.0)
5.3b
(/ x (/ (* z (- y t)) 2.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-sqr-sqrt
25×*-un-lft-identity
23×add-cube-cbrt
19×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
5×pow1 associate-*r*
4×associate-*r/ associate-/l*
3×associate-*l* prod-exp cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in clear-num flip-- associate-/l/
1×pow-prod-down associate-/r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 97
Calls
3 calls:
11.0ms
(* z (- y t))
6.0ms
(/ (* z (- y t)) 2.0)
6.0ms
(/ x (/ (* z (- y t)) 2.0))

series144.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(* z (- y t))
52.0ms
(/ (* z (- y t)) 2.0)
51.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0413592
11829518
25002515

prune240.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
3.8b
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

rewrite279.0ms

Algorithm
rewrite-expression-head
Rules
536×times-frac
421×add-sqr-sqrt
259×*-un-lft-identity
225×cbrt-prod
223×add-cube-cbrt
137×associate-*l*
119×associate-*r*
40×add-exp-log
35×unswap-sqr
25×add-cbrt-cube
18×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
14×div-inv
9×prod-exp cbrt-unprod
6×pow1
4×add-log-exp
3×pow1/3
2×associate-/r/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 354
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
250.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

series878.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt x)
409.0ms
(cbrt x)
196.0ms
(cbrt x)
79.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

simplify84.0ms

Algorithm
egg-herbie
Counts
366 → 366
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
016574308
150024200

prune1.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (/ (cbrt x) (/ z (cbrt x))) (* (cbrt (/ (cbrt x) (/ (- y t) 2.0))) (cbrt (/ (cbrt x) (/ (- y t) 2.0)))))
3.7b
(cbrt (/ (cbrt x) (/ (- y t) 2.0)))
3.7b
(cbrt (/ (cbrt x) (/ (- y t) 2.0)))
3.7b
(cbrt (/ (cbrt x) (/ (- y t) 2.0)))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
862×times-frac
653×cbrt-prod
531×add-sqr-sqrt
514×*-un-lft-identity
406×add-cube-cbrt
137×associate-*l*
54×distribute-lft-out-- difference-of-squares
28×div-inv
25×add-exp-log
13×add-cbrt-cube
11×cbrt-div
9×pow1 prod-exp cbrt-unprod
7×unswap-sqr
6×cbrt-undiv div-exp
5×frac-times associate-*r/
4×associate-/r/ add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative
Counts
4 → 558
Calls
4 calls:
138.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (* (cbrt (/ (cbrt x) (/ (- y t) 2.0))) (cbrt (/ (cbrt x) (/ (- y t) 2.0)))))
11.0ms
(cbrt (/ (cbrt x) (/ (- y t) 2.0)))
14.0ms
(cbrt (/ (cbrt x) (/ (- y t) 2.0)))
10.0ms
(cbrt (/ (cbrt x) (/ (- y t) 2.0)))

series1.4s

Counts
4 → 12
Calls
4 calls:
434.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (* (cbrt (/ (cbrt x) (/ (- y t) 2.0))) (cbrt (/ (cbrt x) (/ (- y t) 2.0)))))
339.0ms
(cbrt (/ (cbrt x) (/ (- y t) 2.0)))
333.0ms
(cbrt (/ (cbrt x) (/ (- y t) 2.0)))
330.0ms
(cbrt (/ (cbrt x) (/ (- y t) 2.0)))

simplify118.0ms

Algorithm
egg-herbie
Counts
570 → 570
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
015238903
150018733

prune2.9s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.2b
(/ (- (* z (- y t))) (- 2.0))
5.3b
(/ x (/ (- (* z (- y t))) (- 2.0)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
492×times-frac
222×add-sqr-sqrt
220×*-un-lft-identity
218×add-cube-cbrt
144×distribute-lft-neg-in distribute-rgt-neg-in
82×neg-mul-1
74×associate-/r*
12×add-exp-log add-cbrt-cube
9×associate-/l*
6×div-inv
5×pow1 associate-*r*
4×cbrt-undiv associate-*r/ div-exp
3×associate-*l* add-log-exp
2×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in clear-num flip-- associate-/l/ distribute-neg-frac
1×neg-sub0 div-sub distribute-frac-neg pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 392
Calls
3 calls:
10.0ms
(* z (- y t))
7.0ms
(/ (- (* z (- y t))) (- 2.0))
17.0ms
(/ x (/ (- (* z (- y t))) (- 2.0)))

series190.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* z (- y t))
80.0ms
(/ (- (* z (- y t))) (- 2.0))
66.0ms
(/ x (/ (- (* z (- y t))) (- 2.0)))

simplify85.0ms

Algorithm
egg-herbie
Counts
401 → 401
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
014184015
150013832

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes217.0ms

Accuracy

60.4% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 5.2b

bsearch96.0ms

Steps
ItersRangePoint
5
3.088971661169766e-28
8.662903954852314e-28
5.157331332311753e-28
10
-8.61012292905872e+83
-2.2505607137850447e+66
-3.0679094448922225e+66

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03319
13519
23519

end0.0ms

sample514.0ms

Algorithm
intervals
Results
286.0ms8690×body80valid