Details

Time bar (total: 6.2s)

sample53.0ms

Algorithm
intervals
Results
19.0ms395×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03810
111210
238410
3156810
4500110

prune9.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y 1.0) z)
0.0b
(- x (* (- y 1.0) z))
0.0b
(* (- t 1.0) a)
0.0b
(* (- (+ y t) 2.0) b)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×*-un-lft-identity
16×associate-*l*
10×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
9×associate-*r*
6×associate-*l/ add-log-exp
4×flip3-- flip-- distribute-lft-out--
3×pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
1×sub-neg diff-log distribute-lft-out
Counts
4 → 79
Calls
4 calls:
6.0ms
(* (- y 1.0) z)
3.0ms
(- x (* (- y 1.0) z))
6.0ms
(* (- t 1.0) a)
8.0ms
(* (- (+ y t) 2.0) b)

series134.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (- y 1.0) z)
30.0ms
(- x (* (- y 1.0) z))
38.0ms
(* (- t 1.0) a)
31.0ms
(* (- (+ y t) 2.0) b)

simplify38.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0361390
11363339
25001339

prune401.0ms

Filtered
91 candidates to 59 candidates (35.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New89291
Fresh000
Picked011
Done000
Total89392

Merged error: 0.0b

Counts
92 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- t 1.0) a)
0.0b
(* (+ y t) (+ y t))
6.2b
(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
12.3b
(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
22×add-sqr-sqrt
15×pow1 add-exp-log add-cbrt-cube
14×add-cube-cbrt
13×associate-*l*
12×distribute-lft-out
10×associate-*r*
8×associate-*l/
7×flip3-+ flip-+
6×swap-sqr
5×times-frac associate-/r*
4×frac-times prod-exp cbrt-unprod add-log-exp
3×flip3-- pow-prod-down *-commutative flip-- unswap-sqr
2×cbrt-undiv associate-*r/ div-exp associate-/r/ associate-/l/ difference-of-squares
1×pow2 distribute-rgt-in frac-2neg distribute-lft-in pow-plus clear-num pow-sqr pow-prod-up div-inv associate-/l* distribute-lft-out--
Counts
4 → 112
Calls
4 calls:
6.0ms
(* (- t 1.0) a)
8.0ms
(* (+ y t) (+ y t))
11.0ms
(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
15.0ms
(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

series178.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (- t 1.0) a)
16.0ms
(* (+ y t) (+ y t))
50.0ms
(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
77.0ms
(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

simplify83.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0579851
12884734
25001730

prune698.0ms

Filtered
124 candidates to 75 candidates (39.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1240124
Fresh011
Picked011
Done011
Total1243127

Merged error: 0.0b

Counts
127 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- (+ y t) 2.0) b)
0.0b
(* (- t 1.0) a)
0.0b
(* (- y 1.0) (sqrt z))
0.3b
(* (* (- y 1.0) (sqrt z)) (sqrt z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×*-un-lft-identity
18×associate-*r*
17×associate-*l*
15×pow1 add-exp-log add-cbrt-cube
13×add-cube-cbrt
10×associate-*l/
7×sqrt-prod
6×pow-prod-down prod-exp cbrt-unprod
4×flip3-- *-commutative flip-- distribute-lft-out-- add-log-exp unswap-sqr
3×difference-of-squares
1×distribute-lft-out
Counts
4 → 94
Calls
4 calls:
8.0ms
(* (- (+ y t) 2.0) b)
6.0ms
(* (- t 1.0) a)
7.0ms
(* (- y 1.0) (sqrt z))
11.0ms
(* (* (- y 1.0) (sqrt z)) (sqrt z))

series192.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (- (+ y t) 2.0) b)
39.0ms
(* (- t 1.0) a)
65.0ms
(* (- y 1.0) (sqrt z))
59.0ms
(* (* (- y 1.0) (sqrt z)) (sqrt z))

simplify50.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0463515
11946440
25001436

prune606.0ms

Filtered
106 candidates to 67 candidates (36.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1051106
Fresh000
Picked011
Done022
Total1054109

Merged error: 0b

Counts
109 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (- y 1.0) (* (sqrt z) (fabs (cbrt z)))) (sqrt (cbrt z)))
0.2b
(* (sqrt z) (fabs (cbrt z)))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity associate-*r*
10×sqrt-prod
9×cbrt-prod
7×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×associate-*l/ add-log-exp
2×pow1/3 *-commutative unswap-sqr
1×flip3-- flip--
Counts
4 → 73
Calls
4 calls:
12.0ms
(* (* (- y 1.0) (* (sqrt z) (fabs (cbrt z)))) (sqrt (cbrt z)))
5.0ms
(* (sqrt z) (fabs (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series651.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (* (- y 1.0) (* (sqrt z) (fabs (cbrt z)))) (sqrt (cbrt z)))
61.0ms
(* (sqrt z) (fabs (cbrt z)))
189.0ms
(cbrt z)
197.0ms
(cbrt z)

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0431671
12002596
25001584

prune830.0ms

Filtered
85 candidates to 61 candidates (28.2%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh000
Picked011
Done033
Total85489

Merged error: 0b

Counts
89 → 4

regimes574.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02310
12310

end0.0ms

sample1.4s

Algorithm
intervals
Results
621.0ms12444×body80valid
1.0ms3×body640valid
0.0ms1×body1280valid
0.0ms1×body320valid
0.0ms1×body160valid

Profiling

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