Details

Time bar (total: 32.7s)

sample83.0ms

Algorithm
intervals
Results
23.0ms293×body80valid
20.0ms307×body80nan

simplify5.8s

Counts
1 → 1
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
011275
126250
257250
3112250
4246250
5546250
6890250
71207250
81717250
92947250
104510250
done5000250

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
0.0b
(+ (- 1.0 z) (log z))
0.2b
(* y (+ (- 1.0 z) (log z)))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
17×add-sqr-sqrt
13×add-cube-cbrt
11×associate-+l+
9×pow1 prod-diff
8×distribute-lft-out
7×associate-*r*
6×add-log-exp
5×fma-def add-cbrt-cube add-exp-log distribute-lft-out--
4×log-pow
3×expm1-log1p-u associate-+r+ log-prod associate-*l* log1p-expm1-u
2×sum-log flip3-+ associate-*r/ flip-+
1×distribute-rgt-in +-commutative sub-neg distribute-lft-in diff-log pow-prod-down prod-exp *-commutative associate-+l- cbrt-unprod fma-udef difference-of-squares unswap-sqr
Counts
3 → 76
Calls
3 calls:
0.0ms
(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
47.0ms
(+ (- 1.0 z) (log z))
105.0ms
(* y (+ (- 1.0 z) (log z)))

series452.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
266.0ms
(+ (- 1.0 z) (log z))
102.0ms
(* y (+ (- 1.0 z) (log z)))

simplify1.5s

Counts
85 → 85
Iterations

Useful iterations: done (1.5s)

IterNodesCost
013020508
134218958
2114517774
done500117515

prune532.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
143×*-un-lft-identity
93×cbrt-prod
60×distribute-lft-out
41×pow1
30×swap-sqr log-pow distribute-lft-out--
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
10×associate-*r* associate-*l*
9×flip3-+ pow1/3 flip-+
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube 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 → 139
Calls
4 calls:
166.0ms
(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
27.0ms
(cbrt (+ (- 1.0 z) (log z)))
27.0ms
(cbrt (+ (- 1.0 z) (log z)))
14.0ms
(cbrt (+ (- 1.0 z) (log z)))

series347.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
70.0ms
(cbrt (+ (- 1.0 z) (log z)))
87.0ms
(cbrt (+ (- 1.0 z) (log z)))
80.0ms
(cbrt (+ (- 1.0 z) (log z)))

simplify3.7s

Counts
151 → 151
Iterations

Useful iterations: done (3.7s)

IterNodesCost
024180045
168662934
2226462259
done500161119

prune898.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize147.0ms

Local error

Found 4 expressions with local error:

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

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
366×cbrt-div
136×frac-times
111×flip3-+ flip-+
44×associate-*l/ associate-*r/
35×*-un-lft-identity
29×cbrt-prod
17×pow1
15×add-sqr-sqrt
12×distribute-lft-out
11×add-cube-cbrt
9×pow1/3
6×add-exp-log log-pow distribute-lft-out--
4×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* 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 → 173
Calls
4 calls:
14.0ms
(cbrt (+ (- 1.0 z) (log z)))
25.0ms
(cbrt (+ (- 1.0 z) (log z)))
26.0ms
(cbrt (+ (- 1.0 z) (log z)))
58.0ms
(* (cbrt (* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))) (cbrt (* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))))

series424.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(cbrt (+ (- 1.0 z) (log z)))
80.0ms
(cbrt (+ (- 1.0 z) (log z)))
100.0ms
(cbrt (+ (- 1.0 z) (log z)))
142.0ms
(* (cbrt (* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))) (cbrt (* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))))

simplify7.1s

Counts
185 → 185
Iterations

Useful iterations: done (7.0s)

IterNodesCost
0420194322
1978157483
22982155458
done5005154443

prune1.7s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1.0 z) (- 1.0 z))
0.5b
(* (log z) (log z))
5.0b
(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
10.3b
(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

rewrite319.0ms

Algorithm
rewrite-expression-head
Rules
86×*-un-lft-identity
72×add-sqr-sqrt
61×distribute-rgt-in distribute-lft-in
56×prod-diff
54×add-cube-cbrt
44×associate--l+
30×pow1
18×distribute-lft-out--
15×add-cbrt-cube add-exp-log
13×swap-sqr associate-*r*
12×associate-*l*
10×log-pow
9×flip3-- flip--
8×associate-/r* sub-neg times-frac
7×difference-of-squares
6×log-prod associate-*r/
4×expm1-log1p-u frac-times prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-prod-down *-commutative unswap-sqr
2×pow2 cbrt-undiv pow-plus div-exp associate-*l/ associate-/r/ pow-sqr pow-prod-up associate-/l/
1×clear-num frac-2neg div-inv associate-/l*
Counts
4 → 213
Calls
4 calls:
39.0ms
(* (- 1.0 z) (- 1.0 z))
16.0ms
(* (log z) (log z))
139.0ms
(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
113.0ms
(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

series705.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (- 1.0 z) (- 1.0 z))
274.0ms
(* (log z) (log z))
102.0ms
(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
302.0ms
(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

simplify4.3s

Counts
225 → 225
Iterations

Useful iterations: done (4.3s)

IterNodesCost
039595668
1117482614
2457169043
done500069028

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes483.0ms

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
010250
112250
done12250

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.1s9177×body80valid
666.0ms9151×body80nan