Details

Time bar (total: 13.1s)

sample40.0ms

Algorithm
intervals
Results
14.0ms317×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5000
83315
71018
6353
5156
489
351
228
114
08

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

2.0b
(fma (- y x) (/ z t) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (- y x) (/ z t) x)

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(fma (- y x) (/ z t) x)

simplify1.3s

Counts
13 → 13
Iterations
IterNodes
done5001
41513
3263
286
141
023

prune78.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (- y x) (/ z t)) x)
6.8b
(* (- y x) (/ z t))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
5×associate-*l*
4×pow1 add-log-exp
2×expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp cbrt-unprod log1p-expm1-u flip-- unswap-sqr
1×cbrt-undiv +-commutative sum-log fma-def flip3-+ div-exp pow-prod-down associate-*r/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 54
Calls
2 calls:
19.0ms
(+ (* (- y x) (/ z t)) x)
23.0ms
(* (- y x) (/ z t))

series91.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* (- y x) (/ z t)) x)
53.0ms
(* (- y x) (/ z t))

simplify1.2s

Counts
60 → 60
Iterations
IterNodes
done5001
21540
1318
0119

prune313.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

6.7b
(cbrt (* (- y x) (/ z t)))
6.8b
(* (- y x) (/ z t))
6.8b
(* (- y x) (/ z t))
6.8b
(* (- y x) (/ z t))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
39×associate-*r*
34×*-un-lft-identity
30×times-frac
28×add-cube-cbrt
19×add-cbrt-cube add-exp-log
15×associate-*l*
10×pow1
8×frac-times flip3-- associate-*l/ flip--
6×prod-exp cbrt-unprod unswap-sqr
5×cbrt-div
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
1×cbrt-prod pow1/3
Counts
4 → 136
Calls
4 calls:
16.0ms
(cbrt (* (- y x) (/ z t)))
27.0ms
(* (- y x) (/ z t))
35.0ms
(* (- y x) (/ z t))
28.0ms
(* (- y x) (/ z t))

series392.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(cbrt (* (- y x) (/ z t)))
55.0ms
(* (- y x) (/ z t))
65.0ms
(* (- y x) (/ z t))
61.0ms
(* (- y x) (/ z t))

simplify1.5s

Counts
148 → 148
Iterations
IterNodes
done5002
21770
1395
0166

prune934.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

6.7b
(cbrt (* (- y x) (/ z t)))
6.8b
(* (- y x) (/ z t))
6.8b
(* (- y x) (/ z t))
12.0b
(cbrt (/ z t))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
31×*-un-lft-identity
29×times-frac
27×add-cube-cbrt
26×associate-*r*
14×cbrt-prod add-cbrt-cube add-exp-log
10×associate-*l*
8×pow1
6×frac-times cbrt-div flip3-- associate-*l/ flip--
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
3×associate-*r/ div-inv
2×cbrt-undiv pow1/3 div-exp pow-prod-down *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 120
Calls
4 calls:
16.0ms
(cbrt (* (- y x) (/ z t)))
41.0ms
(* (- y x) (/ z t))
26.0ms
(* (- y x) (/ z t))
2.0ms
(cbrt (/ z t))

series434.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(cbrt (* (- y x) (/ z t)))
58.0ms
(* (- y x) (/ z t))
59.0ms
(* (- y x) (/ z t))
96.0ms
(cbrt (/ z t))

simplify1.6s

Counts
132 → 132
Iterations
IterNodes
done5000
21914
1447
0209

prune1.1s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes395.0ms

Accuracy

4.5% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.0b

bsearch77.0ms

Steps
ItersRangePoint
8
4.449933764252092e-18
4.130233467087371e-14
2.133640105926504e-14
7
-8.823306003956314e-172
-1.786112074131427e-173
-3.1659686786797208e-173

simplify3.0ms

Iterations
IterNodes
done22
122
018

end0.0ms

sample1.2s

Algorithm
intervals
Results
538.0ms10608×body80valid