Details

Time bar (total: 20.6s)

sample164.0ms

Algorithm
intervals
Results
51.0ms646×body80nan
33.0ms256×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 4 (111.0ms)

IterNodesCost
01011
12111
25211
313211
453310
5230010
done500110

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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))
0.2b
(* x (log y))

rewrite395.0ms

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:
74.0ms
(- (- (* x (log y)) y) z)
16.0ms
(- (* x (log y)) y)
280.0ms
(+ (- (- (* x (log y)) y) z) (log t))
18.0ms
(* x (log y))

series251.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- (- (* x (log y)) y) z)
105.0ms
(- (* x (log y)) y)
49.0ms
(+ (- (- (* x (log y)) y) z) (log t))
44.0ms
(* x (log y))

simplify2.0s

Counts
154 → 154
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02201823
15741568
221971386
done50011323

prune945.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log y)) y)
0.0b
(- (- (* x (log y)) y) (- z (log t)))
0.2b
(* x (log y))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
40×add-sqr-sqrt
36×prod-diff
30×add-cube-cbrt
23×associate--l+
18×log-prod
15×add-log-exp
14×associate--r+
13×pow1
11×distribute-lft-out--
9×distribute-rgt-in distribute-lft-in diff-log
8×log-pow
6×flip3-- flip--
5×add-exp-log add-cbrt-cube
4×sub-neg fma-neg associate-*r* frac-sub difference-of-squares
3×expm1-log1p-u associate-*l* log1p-expm1-u
1×associate--l- pow-prod-down prod-exp *-commutative cbrt-unprod associate--r- unswap-sqr
Counts
3 → 124
Calls
3 calls:
18.0ms
(- (* x (log y)) y)
98.0ms
(- (- (* x (log y)) y) (- z (log t)))
13.0ms
(* x (log y))

series205.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(- (* x (log y)) y)
59.0ms
(- (- (* x (log y)) y) (- z (log t)))
61.0ms
(* x (log y))

simplify2.2s

Counts
133 → 133
Iterations

Useful iterations: 2 (687.0ms)

IterNodesCost
02462410
17152059
235241774
done50001774

prune665.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

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)

rewrite22.0ms

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:
16.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
263.0ms
(* (cbrt y) (cbrt y))
312.0ms
(cbrt y)
282.0ms
(cbrt y)
261.0ms
(cbrt y)

simplify942.0ms

Counts
93 → 93
Iterations

Useful iterations: done (939.0ms)

IterNodesCost
065554
1143443
2719423
done5000409

prune501.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
5.9b
(pow y 2/3)
5.9b
(pow y 2/3)
5.9b
(pow y 2/3)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down pow-unpow
7×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod pow-to-exp pow-pow pow-exp sqr-pow
1×pow1/3
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt y)
3.0ms
(pow y 2/3)
3.0ms
(pow y 2/3)
3.0ms
(pow y 2/3)

series1.1s

Counts
4 → 12
Calls
4 calls:
279.0ms
(cbrt y)
260.0ms
(pow y 2/3)
222.0ms
(pow y 2/3)
303.0ms
(pow y 2/3)

simplify1.8s

Counts
82 → 82
Iterations

Useful iterations: done (1.8s)

IterNodesCost
061449
1141387
2505358
32279340
done5001328

prune667.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes471.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11111
done1111

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.5s23838×body80nan
643.0ms8019×body80valid