Details

Time bar (total: 5.4s)

sample64.0ms

Algorithm
intervals
Results
24.0ms734×body80nan
11.0ms258×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (11.0ms)

IterNodesCost
0216
1526
21346
32826
45415
57525
69685
711995
813275
913275

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
16×prod-diff
14×add-sqr-sqrt
12×add-cube-cbrt
9×pow1
7×log-pow
6×distribute-lft-out
5×add-log-exp
4×fma-neg distribute-lft-out--
3×log-prod associate--l+
2×add-exp-log expm1-log1p-u diff-log add-cbrt-cube log1p-expm1-u
1×sub-neg flip3-- sum-log flip-- fma-udef associate--r+ difference-of-squares
Counts
2 → 54
Calls
2 calls:
11.0ms
(- (log t) (+ y z))
0.0ms
(fma (log y) x (- (log t) (+ y z)))

series95.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (log t) (+ y z))
53.0ms
(fma (log y) x (- (log t) (+ y z)))

simplify105.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0242500
1768348
24200307
35001307

prune133.0ms

Filtered
60 candidates to 36 candidates (60.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- (* x (log y)) y) z)
0.0b
(- (* x (log y)) y)
0.0b
(+ (- (- (* x (log y)) y) z) (log t))
0.3b
(* x (log y))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
40×associate--l+
38×add-sqr-sqrt
32×add-cube-cbrt
27×log-prod prod-diff
22×associate-+l+
17×add-log-exp
12×distribute-rgt-in distribute-lft-in
9×pow1
7×diff-log
6×add-exp-log add-cbrt-cube
5×sub-neg fma-def
4×expm1-log1p-u fma-neg associate-*r* log1p-expm1-u distribute-lft-out distribute-lft-out--
3×associate-+r+ associate-*l* sum-log log-pow
2×flip3-- flip-- difference-of-squares
1×+-commutative associate--l- associate-+l- flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 142
Calls
4 calls:
23.0ms
(- (- (* x (log y)) y) z)
6.0ms
(- (* x (log y)) y)
74.0ms
(+ (- (- (* x (log y)) y) z) (log t))
4.0ms
(* x (log y))

series170.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (- (* x (log y)) y) z)
52.0ms
(- (* x (log y)) y)
46.0ms
(+ (- (- (* x (log y)) y) z) (log t))
36.0ms
(* x (log y))

simplify59.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0504963
11901767
25002741

prune393.0ms

Filtered
154 candidates to 110 candidates (71.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite9.0ms

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:
5.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series723.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* (cbrt y) (cbrt y))
172.0ms
(cbrt y)
181.0ms
(cbrt y)
175.0ms
(cbrt y)

simplify86.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune312.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (fma 2 (log (cbrt t)) (- (- (* (log y) x) y) z)) (log (cbrt t)))
0.3b
(* (log y) x)
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
13×add-sqr-sqrt
11×add-cube-cbrt
9×cbrt-prod
8×pow1
6×add-exp-log associate-+r+ log-prod add-cbrt-cube
5×add-log-exp
4×expm1-log1p-u associate-*l* log1p-expm1-u
3×fma-def associate-*r*
2×pow1/3 log-pow distribute-lft-out
1×+-commutative associate-+l+ flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ fma-udef unswap-sqr
Counts
4 → 72
Calls
4 calls:
4.0ms
(+ (fma 2 (log (cbrt t)) (- (- (* (log y) x) y) z)) (log (cbrt t)))
3.0ms
(* (log y) x)
0.0ms
(cbrt t)
1.0ms
(cbrt t)

series558.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(+ (fma 2 (log (cbrt t)) (- (- (* (log y) x) y) z)) (log (cbrt t)))
62.0ms
(* (log y) x)
168.0ms
(cbrt t)
173.0ms
(cbrt t)

simplify95.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0261501
1852454
23482411
35001407

prune305.0ms

Filtered
84 candidates to 68 candidates (81.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes126.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01913
11913

end0.0ms

sample2.0s

Algorithm
intervals
Results
809.0ms24285×body80nan
331.0ms8025×body80valid