Details

Time bar (total: 15.8s)

sample20.0ms

Algorithm
intervals
Results
9.0ms271×body80valid

simplify100.0ms

Counts
1 → 1
Iterations
IterNodes
done117
6117
5112
488
359
237
121
09

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 x) y)
7.9b
(/ (/ (/ 1.0 x) y) (+ (* z z) 1.0))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
56×associate-/l*
22×div-inv
16×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 clear-num frac-2neg associate-/r/ add-log-exp associate-/l/
1×flip3-+ flip-+
Counts
2 → 264
Calls
2 calls:
19.0ms
(/ (/ 1.0 x) y)
54.0ms
(/ (/ (/ 1.0 x) y) (+ (* z z) 1.0))

series156.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (/ 1.0 x) y)
110.0ms
(/ (/ (/ 1.0 x) y) (+ (* z z) 1.0))

simplify568.0ms

Counts
270 → 270
Iterations
IterNodes
done5000
11239
0476

prune1.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.8b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
1.1b
(/ (/ 1 x) (* (sqrt (+ 1.0 (* z z))) (cbrt y)))
15.7b
(sqrt (+ 1.0 (* z z)))
15.7b
(sqrt (+ 1.0 (* z z)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
26×add-exp-log
23×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
14×add-cbrt-cube
13×associate-/l*
12×div-exp
6×pow1 cbrt-undiv sqrt-div sqrt-prod
4×prod-exp add-log-exp
3×cbrt-prod flip3-+ flip-+ div-inv
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp associate-*l/ associate-/r/ cbrt-unprod
1×clear-num associate-/r* frac-2neg pow1/3 associate-/l/
Counts
4 → 93
Calls
4 calls:
1.0ms
(cbrt y)
32.0ms
(/ (/ 1 x) (* (sqrt (+ 1.0 (* z z))) (cbrt y)))
6.0ms
(sqrt (+ 1.0 (* z z)))
4.0ms
(sqrt (+ 1.0 (* z z)))

series704.0ms

Counts
4 → 12
Calls
4 calls:
294.0ms
(cbrt y)
247.0ms
(/ (/ 1 x) (* (sqrt (+ 1.0 (* z z))) (cbrt y)))
83.0ms
(sqrt (+ 1.0 (* z z)))
79.0ms
(sqrt (+ 1.0 (* z z)))

simplify1.0s

Counts
105 → 105
Iterations
IterNodes
done5002
22319
1544
0211

prune804.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.8b

localize73.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt x) (cbrt x))
16.2b
(cbrt (+ 1.0 (* z z)))
16.2b
(cbrt (+ 1.0 (* z z)))
16.2b
(cbrt (+ 1.0 (* z z)))

rewrite19.0ms

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×cbrt-div swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
3×flip3-+ flip-+
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 79
Calls
4 calls:
9.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt (+ 1.0 (* z z)))
2.0ms
(cbrt (+ 1.0 (* z z)))
3.0ms
(cbrt (+ 1.0 (* z z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
355.0ms
(* (cbrt x) (cbrt x))
208.0ms
(cbrt (+ 1.0 (* z z)))
321.0ms
(cbrt (+ 1.0 (* z z)))
321.0ms
(cbrt (+ 1.0 (* z z)))

simplify704.0ms

Counts
91 → 91
Iterations
IterNodes
done5001
21105
1285
0120

prune711.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.8b

localize44.0ms

Local error

Found 4 expressions with local error:

3.8b
(* (/ 1 (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z))))) (/ (/ (/ 1.0 x) (cbrt (+ 1.0 (* z z)))) y))
16.2b
(cbrt (+ 1.0 (* z z)))
16.2b
(cbrt (+ 1.0 (* z z)))
16.2b
(cbrt (+ 1.0 (* z z)))

rewrite317.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
364×add-sqr-sqrt
307×*-un-lft-identity
301×add-cube-cbrt
256×associate-*r*
132×cbrt-prod
122×add-exp-log
58×div-exp
44×add-cbrt-cube
40×prod-exp
26×cbrt-undiv
24×cbrt-div
23×div-inv
18×unswap-sqr
16×cbrt-unprod
15×associate-*l*
14×associate-/r/
12×flip3-+ flip-+
8×rec-exp 1-exp
6×pow1
5×frac-times
4×add-log-exp
3×pow1/3 associate-*l/ associate-*r/
1×pow-prod-down *-commutative
Counts
4 → 380
Calls
4 calls:
280.0ms
(* (/ 1 (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z))))) (/ (/ (/ 1.0 x) (cbrt (+ 1.0 (* z z)))) y))
2.0ms
(cbrt (+ 1.0 (* z z)))
2.0ms
(cbrt (+ 1.0 (* z z)))
3.0ms
(cbrt (+ 1.0 (* z z)))

series766.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* (/ 1 (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z))))) (/ (/ (/ 1.0 x) (cbrt (+ 1.0 (* z z)))) y))
243.0ms
(cbrt (+ 1.0 (* z z)))
197.0ms
(cbrt (+ 1.0 (* z z)))
215.0ms
(cbrt (+ 1.0 (* z z)))

simplify2.0s

Counts
392 → 392
Iterations
IterNodes
done5001
13227
0845

prune2.8s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 6.8b

regimes709.0ms

Accuracy

0% (0.8b remaining)

Error of 5.8b against oracle of 4.9b and baseline of 5.8b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done21
121
016

end0.0ms

sample1.1s

Algorithm
intervals
Results
856.0ms8599×body80valid