Details

Time bar (total: 38.8s)

sample277.0ms

Algorithm
intervals
Results
135.0ms1648×body80nan
47.0ms257×body80valid

simplify4.6s

Counts
1 → 1
Iterations
IterNodes
done5000
73467
61851
5984
4411
3155
261
127
015

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize49.0ms

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))

rewrite445.0ms

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×distribute-rgt-in sum-log distribute-lft-in flip3-- add-cbrt-cube associate-*l/ add-exp-log 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×associate--l- +-commutative sub-neg associate--l+
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 172
Calls
4 calls:
102.0ms
(- (+ (log (+ x y)) (log z)) t)
288.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
19.0ms
(* (- a 0.5) (log t))
23.0ms
(+ (log (+ x y)) (log z))

series737.0ms

Counts
4 → 12
Calls
4 calls:
257.0ms
(- (+ (log (+ x y)) (log z)) t)
281.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
100.0ms
(* (- a 0.5) (log t))
99.0ms
(+ (log (+ x y)) (log z))

simplify3.0s

Counts
184 → 184
Iterations
IterNodes
done5004
22615
1743
0271

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt t) (cbrt t))
0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
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:
9.0ms
(* (cbrt t) (cbrt t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series1.1s

Counts
4 → 12
Calls
4 calls:
313.0ms
(* (cbrt t) (cbrt t))
257.0ms
(cbrt t)
266.0ms
(cbrt t)
278.0ms
(cbrt t)

simplify3.5s

Counts
93 → 93
Iterations
IterNodes
done5000
44108
31072
2382
1140
065

prune836.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt t) (cbrt t))
0.5b
(cbrt t)
0.5b
(cbrt t)
5.0b
(pow t 1/3)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×cbrt-prod
16×*-un-lft-identity add-cube-cbrt
12×pow1
8×pow1/3
7×add-exp-log
6×swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×pow-unpow unpow-prod-down
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-pow pow-plus unpow1/3 pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 88
Calls
4 calls:
17.0ms
(* (cbrt t) (cbrt t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
4.0ms
(pow t 1/3)

series1.2s

Counts
4 → 12
Calls
4 calls:
303.0ms
(* (cbrt t) (cbrt t))
293.0ms
(cbrt t)
288.0ms
(cbrt t)
294.0ms
(pow t 1/3)

simplify3.2s

Counts
100 → 100
Iterations
IterNodes
done5010
44196
31516
2644
1251
095

prune993.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize124.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sqrt t))
0.6b
(cbrt (sqrt t))
0.6b
(cbrt (sqrt t))
5.0b
(pow t 1/3)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×sqrt-prod
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow unpow-prod-down pow1/3
1×pow-to-exp pow-pow unpow1/3 pow-exp sqr-pow
Counts
4 → 68
Calls
4 calls:
2.0ms
(cbrt (sqrt t))
2.0ms
(cbrt (sqrt t))
2.0ms
(cbrt (sqrt t))
4.0ms
(pow t 1/3)

series1.0s

Counts
4 → 12
Calls
4 calls:
297.0ms
(cbrt (sqrt t))
218.0ms
(cbrt (sqrt t))
213.0ms
(cbrt (sqrt t))
281.0ms
(pow t 1/3)

simplify1.6s

Counts
80 → 80
Iterations
IterNodes
done5001
31656
2489
1180
077

prune858.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done29
129
025

end0.0ms

sample12.3s

Algorithm
intervals
Results
7.5s55163×body80nan
1.6s8039×body80valid