Details

Time bar (total: 13.6s)

sample21.0ms

Algorithm
intervals
Results
8.0ms313×body80valid

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
done5000
114445
101808
9704
8290
7124
656
552
446
337
224
116
06

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

5.7b
(fma (/ x z) y 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:
1.0ms
(fma (/ x z) y x)

series56.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(fma (/ x z) y x)

simplify2.9s

Counts
13 → 13
Iterations
IterNodes
done5000
53865
4682
3162
251
125
018

prune98.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x (/ z y)) x)
5.7b
(/ x (/ z y))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
81×*-un-lft-identity
79×add-sqr-sqrt add-cube-cbrt
44×fma-def
13×associate-/r*
div-inv
add-cbrt-cube add-exp-log
add-log-exp
cbrt-undiv div-exp associate-/l*
expm1-log1p-u pow1 associate-/r/ log1p-expm1-u
+-commutative clear-num sum-log frac-2neg flip3-+ flip-+ distribute-lft-out
Counts
2 → 130
Calls
2 calls:
50.0ms
(+ (/ x (/ z y)) x)
13.0ms
(/ x (/ z y))

series80.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (/ x (/ z y)) x)
41.0ms
(/ x (/ z y))

simplify980.0ms

Counts
136 → 136
Iterations
IterNodes
done5001
22018
1446
0174

prune750.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

5.7b
(/ x (/ z y))
11.7b
(cbrt (/ x (/ z y)))
11.7b
(cbrt (/ x (/ z y)))
11.7b
(cbrt (/ x (/ z y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
273×times-frac
151×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
132×cbrt-prod
17×div-inv
13×associate-/r*
add-cbrt-cube add-exp-log
expm1-log1p-u pow1 associate-/r/ log1p-expm1-u add-log-exp
cbrt-undiv cbrt-div pow1/3 div-exp associate-/l*
clear-num frac-2neg
Counts
4 → 237
Calls
4 calls:
7.0ms
(/ x (/ z y))
5.0ms
(cbrt (/ x (/ z y)))
5.0ms
(cbrt (/ x (/ z y)))
5.0ms
(cbrt (/ x (/ z y)))

series394.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ x (/ z y))
129.0ms
(cbrt (/ x (/ z y)))
98.0ms
(cbrt (/ x (/ z y)))
143.0ms
(cbrt (/ x (/ z y)))

simplify1.0s

Counts
249 → 249
Iterations
IterNodes
done5000
21964
1521
0263

prune1.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (/ y z)) x)
6.2b
(* x (/ y z))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×*-un-lft-identity times-frac add-cube-cbrt
add-cbrt-cube add-exp-log
pow1 add-log-exp
associate-*l*
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
cbrt-undiv +-commutative sum-log fma-def flip3-+ div-exp pow-prod-down associate-*r/ *-commutative flip-+ div-inv
Counts
2 → 48
Calls
2 calls:
16.0ms
(+ (* x (/ y z)) x)
22.0ms
(* x (/ y z))

series73.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ (* x (/ y z)) x)
22.0ms
(* x (/ y z))

simplify838.0ms

Counts
54 → 54
Iterations
IterNodes
done5001
21059
1252
093

prune229.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes268.0ms

Accuracy

29% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.9b

bsearch237.0ms

Steps
ItersRangePoint
8
6.127332829993121e-85
1.2970588185605032e-80
1.2171329907870686e-83
8
6.530277862020764e-231
3.617346493699352e-228
9.9203394958775e-231
9
-3.9793094261497816e-255
-1.7955842967750528e-262
-1.2629574859194037e-259
9
-8.529105409937888e-129
-7.314723589433577e-138
-2.0899113308777715e-129

simplify520.0ms

Iterations
IterNodes
done5002
142051
131321
12591
11403
10213
9157
8107
779
663
550
444
341
235
132
023

end0.0ms

sample934.0ms

Algorithm
intervals
Results
413.0ms9672×body80valid