Details

Time bar (total: 7.3s)

sample21.0ms

Algorithm
intervals
Results
10.0ms279×body80valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* z (- y t)) 2.0)
0.0b
(* z (- y t))
6.2b
(/ x (/ (* z (- y t)) 2.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
37×*-un-lft-identity
36×times-frac
35×add-cube-cbrt
19×add-exp-log add-cbrt-cube
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
5×pow1 associate-*r*
4×associate-*r/ associate-/l*
3×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg flip3-- frac-2neg clear-num flip-- associate-/l/
1×pow-prod-down associate-/r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 121
Calls
3 calls:
8.0ms
(/ (* z (- y t)) 2.0)
7.0ms
(* z (- y t))
8.0ms
(/ x (/ (* z (- y t)) 2.0))

series128.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (* z (- y t)) 2.0)
33.0ms
(* z (- y t))
46.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0498867
12215667
25001667

prune238.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.6b
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

rewrite223.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×associate-/r/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 362
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
194.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

series603.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
175.0ms
(cbrt x)
176.0ms
(cbrt x)
75.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

simplify75.0ms

Algorithm
egg-herbie
Counts
374 → 374
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
016614340
150014232

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (/ (* (cbrt z) (cbrt z)) (* (cbrt (cbrt x)) (cbrt (cbrt x))))) (* (/ (cbrt (cbrt x)) (/ (cbrt z) (cbrt (cbrt x)))) (/ (cbrt x) (/ (- y t) 2.0))))
0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(cbrt z)

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
831×add-exp-log
378×cbrt-undiv div-exp
373×add-cbrt-cube
339×prod-exp cbrt-unprod
10×associate-*l*
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*l/
2×div-inv
1×associate-*r* associate-/r/ *-commutative
Counts
4 → 289
Calls
4 calls:
68.0ms
(* (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (/ (* (cbrt z) (cbrt z)) (* (cbrt (cbrt x)) (cbrt (cbrt x))))) (* (/ (cbrt (cbrt x)) (/ (cbrt z) (cbrt (cbrt x)))) (/ (cbrt x) (/ (- y t) 2.0))))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series605.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (/ (* (cbrt z) (cbrt z)) (* (cbrt (cbrt x)) (cbrt (cbrt x))))) (* (/ (cbrt (cbrt x)) (/ (cbrt z) (cbrt (cbrt x)))) (/ (cbrt x) (/ (- y t) 2.0))))
184.0ms
(cbrt z)
187.0ms
(cbrt z)
182.0ms
(cbrt z)

simplify82.0ms

Algorithm
egg-herbie
Counts
301 → 301
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
0162110549
150017079

prune603.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
3.4b
(* (/ (cbrt x) (/ z (cbrt x))) (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (- y t)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
272×times-frac
185×add-sqr-sqrt
157×cbrt-prod
137×*-un-lft-identity associate-*l*
135×add-cube-cbrt
40×add-exp-log
25×add-cbrt-cube
15×cbrt-undiv div-exp
14×unswap-sqr
12×prod-exp cbrt-unprod
11×associate-*r*
8×div-inv
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/r/
1×frac-times flip3-- associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 242
Calls
4 calls:
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
45.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (- y t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
247.0ms
(cbrt (cbrt x))
241.0ms
(cbrt (cbrt x))
247.0ms
(cbrt (cbrt x))
371.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (- y t)))

simplify87.0ms

Algorithm
egg-herbie
Counts
254 → 254
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
08963209
136093023
250012899

prune1.0s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes129.0ms

Accuracy

3.5% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.6b

bsearch86.0ms

Steps
ItersRangePoint
9
1.4522094872280968e+132
1.5429413805221278e+137
1.567521217467982e+132
7
-1.5855513606305376e-300
-4.6607623142939227e-302
-7.516801027411023e-302

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03232
13232

end0.0ms

sample675.0ms

Algorithm
intervals
Results
458.0ms8725×body80valid