Details

Time bar (total: 28.8s)

sample82.0ms

Algorithm
intervals
Results
21.0ms286×body80valid
16.0ms254×body80nan

simplify4.5s

Counts
1 → 1
Iterations
IterNodes
done5000
52285
4842
3266
288
130
015

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1 (log t))
0.1b
(fma z (- 1 (log t)) (fma b (- a 0.5) (+ y x)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
14×add-sqr-sqrt
12×prod-diff
11×add-cube-cbrt
6×pow1
4×log-pow
3×log-prod fma-neg associate--r+ add-log-exp
2×expm1-log1p-u add-cbrt-cube add-exp-log log1p-expm1-u distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- diff-log fma-udef flip--
Counts
2 → 46
Calls
2 calls:
7.0ms
(- 1 (log t))
0.0ms
(fma z (- 1 (log t)) (fma b (- a 0.5) (+ y x)))

series489.0ms

Counts
2 → 6
Calls
2 calls:
187.0ms
(- 1 (log t))
302.0ms
(fma z (- 1 (log t)) (fma b (- a 0.5) (+ y x)))

simplify3.2s

Counts
52 → 52
Iterations
IterNodes
done5000
44426
31197
2487
1209
0103

prune335.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma b (- a 0.5) (+ y x)))
0.3b
(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
19×add-sqr-sqrt
17×add-cube-cbrt
15×prod-diff
9×cbrt-prod
8×pow1
7×log-pow
6×log-prod associate--r+
5×pow1/3 add-log-exp
4×expm1-log1p-u add-cbrt-cube add-exp-log log1p-expm1-u
3×fma-neg
2×fma-udef distribute-lft-out--
1×sub-neg flip3-- diff-log associate--l+ flip-- difference-of-squares
Counts
4 → 78
Calls
4 calls:
0.0ms
(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma b (- a 0.5) (+ y x)))
7.0ms
(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series2.0s

Counts
4 → 12
Calls
4 calls:
659.0ms
(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma b (- a 0.5) (+ y x)))
825.0ms
(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
243.0ms
(cbrt t)
276.0ms
(cbrt t)

simplify3.2s

Counts
90 → 90
Iterations
IterNodes
done5001
32295
2728
1292
0139

prune841.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.0b
(* (- a 0.5) b)
0.1b
(- (+ (+ x y) z) (* z (log t)))
0.3b
(* z (log t))

rewrite950.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
27×add-log-exp
22×add-sqr-sqrt
16×add-cube-cbrt
12×log-prod
10×sum-log prod-diff
9×pow1 distribute-lft-out
8×associate-+l+ add-cbrt-cube associate-*l* add-exp-log
7×associate-*r*
6×distribute-rgt-in distribute-lft-in flip3-- diff-log associate-*l/ flip-- associate--r+
5×fma-neg
4×expm1-log1p-u frac-add log1p-expm1-u
3×fma-def
2×sub-neg pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ log-pow associate-+l- flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 116
Calls
4 calls:
680.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
18.0ms
(* (- a 0.5) b)
231.0ms
(- (+ (+ x y) z) (* z (log t)))
14.0ms
(* z (log t))

series435.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
46.0ms
(* (- a 0.5) b)
68.0ms
(- (+ (+ x y) z) (* z (log t)))
74.0ms
(* z (log t))

simplify2.3s

Counts
128 → 128
Iterations
IterNodes
done5003
22254
1603
0222

prune984.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (+ (* z (log (cbrt t))) (* z (log (cbrt t)))) (* (log (cbrt t)) z))
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-log-exp
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×fma-def
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u
3×sum-log pow1/3
2×distribute-rgt-out distribute-lft-out
1×+-commutative associate-+l+ flip3-+ count-2 flip-+
Counts
4 → 61
Calls
4 calls:
33.0ms
(+ (+ (* z (log (cbrt t))) (* z (log (cbrt t)))) (* (log (cbrt t)) z))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series1.0s

Counts
4 → 12
Calls
4 calls:
133.0ms
(+ (+ (* z (log (cbrt t))) (* z (log (cbrt t)))) (* (log (cbrt t)) z))
289.0ms
(cbrt t)
306.0ms
(cbrt t)
292.0ms
(cbrt t)

simplify3.1s

Counts
73 → 73
Iterations
IterNodes
done5000
34213
2771
1195
069

prune708.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done33
133
024

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.2s9265×body80nan
1.1s9133×body80valid
1.0ms1×body1280valid
1.0ms2×body320valid
0.0ms1×body640valid