Details

Time bar (total: 10.8s)

sample44.0ms

Algorithm
intervals
Results
18.0ms348×body80valid

simplify1.2s

Counts
1 → 1
Iterations
IterNodes
done5000
61582
5409
4172
371
232
116
09

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

3.0b
(fma (/ y a) (- t z) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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 a) (- t z) x)

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(fma (/ y a) (- t z) x)

simplify1.5s

Counts
13 → 13
Iterations
IterNodes
done5000
41994
3284
294
141
024

prune104.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (- t z) (/ y a) x))
3.0b
(fma (- t z) (/ y a) x)
3.0b
(fma (- t z) (/ y a) x)
3.0b
(fma (- t z) (/ y a) x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
cbrt-prod fma-udef
pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (- t z) (/ y a) x))
0.0ms
(fma (- t z) (/ y a) x)
0.0ms
(fma (- t z) (/ y a) x)
0.0ms
(fma (- t z) (/ y a) x)

series452.0ms

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt (fma (- t z) (/ y a) x))
68.0ms
(fma (- t z) (/ y a) x)
57.0ms
(fma (- t z) (/ y a) x)
58.0ms
(fma (- t z) (/ y a) x)

simplify535.0ms

Counts
55 → 55
Iterations
IterNodes
done5000
31112
2284
1118
061

prune405.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ y (/ a (- t z))) x)
0.0b
(/ a (- t z))
5.3b
(/ y (/ a (- t z)))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
246×times-frac
172×*-un-lft-identity
170×add-sqr-sqrt
120×add-cube-cbrt
68×fma-def
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
18×associate-/r/
10×add-cbrt-cube add-exp-log div-inv
flip3-- flip--
associate-/l*
add-log-exp
cbrt-undiv div-exp
expm1-log1p-u pow1 log1p-expm1-u
clear-num frac-2neg
+-commutative sum-log flip3-+ flip-+ distribute-lft-out
Counts
3 → 225
Calls
3 calls:
99.0ms
(+ (/ y (/ a (- t z))) x)
9.0ms
(/ a (- t z))
20.0ms
(/ y (/ a (- t z)))

series190.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(+ (/ y (/ a (- t z))) x)
51.0ms
(/ a (- t z))
74.0ms
(/ y (/ a (- t z)))

simplify909.0ms

Counts
234 → 234
Iterations
IterNodes
done5001
22982
1642
0251

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ y (* a (/ 1 (- t z)))) x)
0.0b
(/ 1 (- t z))
0.2b
(* a (/ 1 (- t z)))
5.3b
(/ y (* a (/ 1 (- t z))))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
38×times-frac
32×add-exp-log
28×add-cube-cbrt
21×associate-*r*
20×add-cbrt-cube
11×div-exp
fma-def
prod-exp associate-/r/
pow1 distribute-lft-out-- difference-of-squares
cbrt-undiv associate-/r* associate-/l* add-log-exp
expm1-log1p-u cbrt-unprod log1p-expm1-u div-inv
rec-exp 1-exp associate-*l* associate-*r/ un-div-inv unswap-sqr
clear-num frac-2neg flip3-- flip--
+-commutative sum-log flip3-+ pow-prod-down *-commutative flip-+ pow-flip distribute-lft-out inv-pow
Counts
4 → 141
Calls
4 calls:
30.0ms
(+ (/ y (* a (/ 1 (- t z)))) x)
15.0ms
(/ 1 (- t z))
38.0ms
(* a (/ 1 (- t z)))
20.0ms
(/ y (* a (/ 1 (- t z))))

series223.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(+ (/ y (* a (/ 1 (- t z)))) x)
51.0ms
(/ 1 (- t z))
39.0ms
(* a (/ 1 (- t z)))
72.0ms
(/ y (* a (/ 1 (- t z))))

simplify705.0ms

Counts
153 → 153
Iterations
IterNodes
done5000
21918
1460
0182

prune659.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes750.0ms

Accuracy

89.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.6b

bsearch1.0ms

simplify4.0ms

Iterations
IterNodes
done28
128
024

end0.0ms

sample1.3s

Algorithm
intervals
Results
812.0ms10689×body80valid