Details

Time bar (total: 10.7s)

sample3.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 25%

Guaranteed chance to sample good point: 21.940104%

Results
15.0ms256×body80valid
9.0ms169×body80nan
2.0ms42×body80invalid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0308
1858
22738
38008
421238
550018

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b
(- (+ (+ x y) z) (* z (log t)))
0.2b
(* z (log t))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
26×add-log-exp
12×log-prod
11×add-sqr-sqrt
10×sum-log
9×add-cube-cbrt *-un-lft-identity
6×pow1 distribute-rgt-in distribute-lft-in diff-log associate--r+
5×add-exp-log flip3-- add-cbrt-cube flip--
4×associate-*r* associate-*l/ frac-add
3×associate-+l+ associate-*l*
2×sub-neg associate--l+
1×+-commutative associate-+l- flip3-+ pow-prod-down prod-exp log-pow *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 68
Calls
3 calls:
11.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
8.0ms
(- (+ (+ x y) z) (* z (log t)))
4.0ms
(* z (log t))

series64.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
12.0ms
(- (+ (+ x y) z) (* z (log t)))
7.0ms
(* z (log t))

simplify71.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0507697
12311643
25001631

prune124.0ms

Filtered
54 candidates to 77 candidates (-42.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New71677
Fresh000
Picked101
Done000
Total72678

Merged error: 0.0b

Counts
78 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt t) (cbrt t))
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt t) (cbrt t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series96.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (cbrt t) (cbrt t))
22.0ms
(cbrt t)
22.0ms
(cbrt t)
25.0ms
(cbrt t)

simplify79.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune125.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New84185
Fresh055
Picked101
Done000
Total85691

Merged error: 0.0b

Counts
91 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (pow t 2/3)) z)
0.3b
(* z (log (cbrt t)))
0.6b
(cbrt t)
6.1b
(pow t 2/3)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
12×log-prod
10×pow1
9×add-exp-log cbrt-prod
8×associate-*r* add-cbrt-cube
7×associate-*l*
6×distribute-rgt-in distribute-lft-in
4×add-log-exp
3×unpow-prod-down pow-unpow log-pow
2×pow1/3 pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow-to-exp pow-pow pow-exp sqr-pow
Counts
4 → 79
Calls
4 calls:
4.0ms
(* (log (pow t 2/3)) z)
5.0ms
(* z (log (cbrt t)))
1.0ms
(cbrt t)
2.0ms
(pow t 2/3)

series83.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (log (pow t 2/3)) z)
20.0ms
(* z (log (cbrt t)))
25.0ms
(cbrt t)
20.0ms
(pow t 2/3)

simplify43.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0286424
11170363
25002324

prune163.0ms

Filtered
57 candidates to 91 candidates (-59.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New88391
Fresh145
Picked101
Done000
Total90797

Merged error: 0b

Counts
97 → 7

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt t)
6.1b
(pow t 2/3)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×unpow-prod-down pow-unpow pow1/3
1×pow-to-exp pow-pow pow-exp sqr-pow
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt t)
2.0ms
(pow t 2/3)

series89.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt z)
22.0ms
(cbrt z)
22.0ms
(cbrt t)
22.0ms
(pow t 2/3)

simplify74.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0175209
1509184
22003139
35002138

prune93.0ms

Filtered
44 candidates to 62 candidates (-40.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New62062
Fresh066
Picked011
Done000
Total62769

Merged error: 0b

Counts
69 → 7

regimes1.2s

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03118
13118

end0.0ms

sample5.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 25%

Guaranteed chance to sample good point: 21.940104%

Results
477.0ms7998×body80valid
252.0ms4700×body80nan
65.0ms1130×body80invalid
0.0ms2×body320valid

Profiling

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