Details

Time bar (total: 15.3s)

sample50.0ms

Algorithm
intervals
Results
20.0ms300×body80valid
15.0ms265×body80nan

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done2000
81717
71207
6890
5546
4246
3112
257
126
011

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (log z))
0.0b
(- (+ 1.0 (log z)) z)
0.1b
(fma y (- (+ 1.0 (log z)) z) (* x 0.5))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
16×add-sqr-sqrt
15×prod-diff
14×add-cube-cbrt
12×distribute-lft-out
9×pow1
8×add-log-exp
6×log-pow
5×fma-neg
3×expm1-log1p-u associate-+r+ log-prod fma-def add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u distribute-lft-out--
2×sum-log diff-log
1×+-commutative sub-neg flip3-+ flip3-- associate--l+ flip-+ fma-udef flip-- difference-of-squares
Counts
3 → 74
Calls
3 calls:
10.0ms
(+ 1.0 (log z))
65.0ms
(- (+ 1.0 (log z)) z)
0.0ms
(fma y (- (+ 1.0 (log z)) z) (* x 0.5))

series533.0ms

Counts
3 → 9
Calls
3 calls:
189.0ms
(+ 1.0 (log z))
277.0ms
(- (+ 1.0 (log z)) z)
67.0ms
(fma y (- (+ 1.0 (log z)) z) (* x 0.5))

simplify680.0ms

Counts
83 → 83
Iterations
IterNodes
done2002
2999
1316
0131

prune307.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ 1.0 (log z))) (cbrt (+ 1.0 (log z))))
0.5b
(cbrt (+ 1.0 (log z)))
0.5b
(cbrt (+ 1.0 (log z)))
0.5b
(cbrt (+ 1.0 (log z)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
51×cbrt-prod
23×add-sqr-sqrt
22×pow1 distribute-lft-out
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×log-pow
9×flip3-+ pow1/3 flip-+
8×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 117
Calls
4 calls:
30.0ms
(* (cbrt (+ 1.0 (log z))) (cbrt (+ 1.0 (log z))))
5.0ms
(cbrt (+ 1.0 (log z)))
7.0ms
(cbrt (+ 1.0 (log z)))
3.0ms
(cbrt (+ 1.0 (log z)))

series1.8s

Counts
4 → 12
Calls
4 calls:
388.0ms
(* (cbrt (+ 1.0 (log z))) (cbrt (+ 1.0 (log z))))
664.0ms
(cbrt (+ 1.0 (log z)))
348.0ms
(cbrt (+ 1.0 (log z)))
375.0ms
(cbrt (+ 1.0 (log z)))

simplify778.0ms

Counts
129 → 129
Iterations
IterNodes
done2002
31147
2499
1225
099

prune583.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (+ 1.0 (log z)) (+ 1.0 (log z)))) (cbrt (+ 1.0 (log z))))
0.5b
(cbrt (+ 1.0 (log z)))
0.5b
(* (+ 1.0 (log z)) (+ 1.0 (log z)))
0.5b
(cbrt (* (+ 1.0 (log z)) (+ 1.0 (log z))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-div
46×*-un-lft-identity
40×flip3-+ flip-+
36×frac-times
23×pow1
20×add-sqr-sqrt distribute-lft-out
18×associate-*l/
17×cbrt-prod
13×associate-*r*
12×associate-*r/ add-cube-cbrt
11×swap-sqr
10×log-pow
9×associate-*l*
8×add-exp-log
6×add-cbrt-cube
5×unswap-sqr
4×expm1-log1p-u pow1/3 insert-posit16 log1p-expm1-u add-log-exp
3×pow-prod-down
2×prod-exp *-commutative cbrt-unprod
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow3 pow-sqr pow-prod-up
Counts
4 → 146
Calls
4 calls:
25.0ms
(* (cbrt (* (+ 1.0 (log z)) (+ 1.0 (log z)))) (cbrt (+ 1.0 (log z))))
3.0ms
(cbrt (+ 1.0 (log z)))
25.0ms
(* (+ 1.0 (log z)) (+ 1.0 (log z)))
10.0ms
(cbrt (* (+ 1.0 (log z)) (+ 1.0 (log z))))

series1.1s

Counts
4 → 12
Calls
4 calls:
172.0ms
(* (cbrt (* (+ 1.0 (log z)) (+ 1.0 (log z)))) (cbrt (+ 1.0 (log z))))
310.0ms
(cbrt (+ 1.0 (log z)))
203.0ms
(* (+ 1.0 (log z)) (+ 1.0 (log z)))
394.0ms
(cbrt (* (+ 1.0 (log z)) (+ 1.0 (log z))))

simplify680.0ms

Counts
158 → 158
Iterations
IterNodes
done2001
21513
1438
0180

prune777.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (- 1.0 (log z)) (- 1.0 (log z)))
0.5b
(* (- (* 1.0 1.0) (* (log z) (log z))) (- (* 1.0 1.0) (* (log z) (log z))))
0.5b
(cbrt (* (- (* 1.0 1.0) (* (log z) (log z))) (- (* 1.0 1.0) (* (log z) (log z)))))
0.6b
(cbrt (* (- 1.0 (log z)) (- 1.0 (log z))))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
38×add-sqr-sqrt
32×pow1
26×prod-diff add-cube-cbrt
24×flip3-- flip--
17×distribute-rgt-in distribute-lft-in
16×frac-times cbrt-div swap-sqr distribute-lft-out--
14×log-pow
10×associate-*r* associate-*l*
8×add-cbrt-cube associate-*l/ associate-*r/ add-exp-log difference-of-squares
4×expm1-log1p-u sub-neg insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-prod pow2 pow-plus pow1/3 pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 164
Calls
4 calls:
47.0ms
(* (- 1.0 (log z)) (- 1.0 (log z)))
51.0ms
(* (- (* 1.0 1.0) (* (log z) (log z))) (- (* 1.0 1.0) (* (log z) (log z))))
26.0ms
(cbrt (* (- (* 1.0 1.0) (* (log z) (log z))) (- (* 1.0 1.0) (* (log z) (log z)))))
18.0ms
(cbrt (* (- 1.0 (log z)) (- 1.0 (log z))))

series1.4s

Counts
4 → 12
Calls
4 calls:
177.0ms
(* (- 1.0 (log z)) (- 1.0 (log z)))
289.0ms
(* (- (* 1.0 1.0) (* (log z) (log z))) (- (* 1.0 1.0) (* (log z) (log z))))
568.0ms
(cbrt (* (- (* 1.0 1.0) (* (log z) (log z))) (- (* 1.0 1.0) (* (log z) (log z)))))
378.0ms
(cbrt (* (- 1.0 (log z)) (- 1.0 (log z))))

simplify629.0ms

Counts
176 → 176
Iterations
IterNodes
done2000
1661
0254

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes256.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.4s9175×body80valid
791.0ms9126×body80nan