Details

Time bar (total: 10.0s)

sample40.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
7.0ms248×body80nan

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done4
04

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ a (- (acos a)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/r*
4×neg-mul-1
3×add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp log1p-expm1-u div-inv add-log-exp
Counts
1 → 57
Calls
1 calls:
8.0ms
(/ a (- (acos a)))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ a (- (acos a)))

simplify1.1s

Counts
60 → 60
Iterations
IterNodes
done5000
32093
2466
1173
096

prune266.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (acos a) a)
0.5b
(/ 1 (- (/ (acos a) a)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
171×times-frac
101×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
52×distribute-lft-neg-in distribute-rgt-neg-in
33×associate-/r*
10×div-inv
8×add-exp-log
6×add-cbrt-cube associate-/l*
4×neg-mul-1
3×pow1 div-exp
2×expm1-log1p-u cbrt-undiv clear-num frac-2neg log1p-expm1-u add-log-exp
1×acos-asin rec-exp 1-exp div-sub associate-/r/ pow-flip distribute-neg-frac inv-pow
Counts
2 → 172
Calls
2 calls:
9.0ms
(/ (acos a) a)
25.0ms
(/ 1 (- (/ (acos a) a)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (acos a) a)
33.0ms
(/ 1 (- (/ (acos a) a)))

simplify1.2s

Counts
178 → 178
Iterations
IterNodes
done5000
22438
1545
0265

prune557.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.9b
(sqrt (acos a))
0.9b
(sqrt (acos a))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×cbrt-prod pow1 sqrt-prod
4×expm1-log1p-u add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(sqrt (acos a))
1.0ms
(sqrt (acos a))

series543.0ms

Counts
4 → 12
Calls
4 calls:
276.0ms
(cbrt a)
245.0ms
(cbrt a)
11.0ms
(sqrt (acos a))
12.0ms
(sqrt (acos a))

simplify1.9s

Counts
68 → 68
Iterations
IterNodes
done5000
53446
4960
3363
2137
166
044

prune265.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt a) (cbrt a))
0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)

rewrite23.0ms

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×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
16.0ms
(* (cbrt a) (cbrt a))
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)

series1.3s

Counts
4 → 12
Calls
4 calls:
299.0ms
(* (cbrt a) (cbrt a))
313.0ms
(cbrt a)
331.0ms
(cbrt a)
324.0ms
(cbrt a)

simplify1.1s

Counts
93 → 93
Iterations
IterNodes
done5001
2725
1142
065

prune319.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done4
04

end0.0ms

sample960.0ms

Algorithm
intervals
Results
381.0ms8000×body80valid
224.0ms7876×body80nan