Details

Time bar (total: 10.6s)

sample196.0ms

Algorithm
intervals
Results
110.0ms1710×body80nan
19.0ms257×body80valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0279
1618
21618
33938
49848
522568
640958
750018

prune10.0ms

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: 0.2b

Counts
2 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
91×*-un-lft-identity
48×pow1
43×add-sqr-sqrt
42×prod-diff log-pow
41×distribute-lft-out
35×add-cube-cbrt
28×associate-+l+
19×log-prod
14×add-log-exp
13×fma-def
11×distribute-lft-out--
9×associate-+r+
7×fma-neg
6×add-exp-log distribute-rgt-in flip3-- distribute-lft-in associate-*l/ sum-log add-cbrt-cube flip--
5×associate-+l- associate-*l*
4×expm1-log1p-u log-div flip3-+ diff-log associate-*r* frac-add flip-+ log1p-expm1-u
3×difference-of-squares
2×+-commutative associate--l- sub-neg associate--l+
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 172
Calls
4 calls:
9.0ms
(- (+ (log (+ x y)) (log z)) t)
19.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
7.0ms
(* (- a 0.5) (log t))
7.0ms
(+ (log (+ x y)) (log z))

series519.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(- (+ (log (+ x y)) (log z)) t)
206.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
57.0ms
(* (- a 0.5) (log t))
79.0ms
(+ (log (+ x y)) (log z))

simplify79.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07061592
127221253
250011237

prune494.0ms

Filtered
184 candidates to 109 candidates (59.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New17212184
Fresh101
Picked101
Done000
Total17412186

Merged error: 0.0b

Counts
186 → 12

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
16×add-sqr-sqrt
14×add-cube-cbrt
12×prod-diff
10×pow1
7×log-prod log-pow
5×add-log-exp
4×associate-+l+ fma-def fma-neg
3×add-exp-log expm1-log1p-u associate--l+ add-cbrt-cube log1p-expm1-u distribute-lft-out
2×associate-+l- log-div flip3-+ flip-+ fma-udef distribute-lft-out--
1×+-commutative sub-neg associate-+r+ flip3-- diff-log sum-log flip-- difference-of-squares
Counts
3 → 72
Calls
3 calls:
5.0ms
(- (log z) t)
6.0ms
(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
1.0ms
(fma (log t) (- a 0.5) (- (log z) t))

series284.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(- (log z) t)
163.0ms
(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
56.0ms
(fma (log t) (- a 0.5) (- (log z) t))

simplify39.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0393634
11179513
25001502

prune258.0ms

Filtered
81 candidates to 58 candidates (71.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New78381
Fresh3811
Picked101
Done000
Total821193

Merged error: 0.0b

Counts
93 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
6.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series767.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(* (cbrt z) (cbrt z))
184.0ms
(cbrt z)
184.0ms
(cbrt z)
189.0ms
(cbrt z)

simplify89.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune375.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New93093
Fresh01010
Picked011
Done000
Total9311104

Merged error: 0.0b

Counts
104 → 11

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log z) t)
0.1b
(+ (fma (- a 0.5) (log t) (log (+ x y))) (- (log z) t))
0.4b
(fma (- a 0.5) (log t) (log (+ x y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
24×prod-diff
23×add-sqr-sqrt
21×add-cube-cbrt
17×associate-+r+
12×pow1
9×log-pow
8×add-log-exp
6×log-prod associate--l+
4×fma-neg distribute-lft-out--
3×add-exp-log expm1-log1p-u fma-def add-cbrt-cube log1p-expm1-u distribute-lft-out
2×sub-neg diff-log sum-log fma-udef
1×+-commutative associate-+r- associate-+l+ flip3-- flip3-+ flip-- flip-+ difference-of-squares
Counts
3 → 85
Calls
3 calls:
5.0ms
(- (log z) t)
7.0ms
(+ (fma (- a 0.5) (log t) (log (+ x y))) (- (log z) t))
1.0ms
(fma (- a 0.5) (log t) (log (+ x y)))

series257.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(- (log z) t)
93.0ms
(+ (fma (- a 0.5) (log t) (log (+ x y))) (- (log z) t))
99.0ms
(fma (- a 0.5) (log t) (log (+ x y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0393802
11233642
25001611

prune246.0ms

Filtered
94 candidates to 63 candidates (67.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh099
Picked011
Done011
Total9411105

Merged error: 0.0b

Counts
105 → 11

regimes669.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02114
12114

end0.0ms

sample6.1s

Algorithm
intervals
Results
3.5s56112×body80nan
586.0ms8031×body80valid

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