Details

Time bar (total: 13.3s)

sample29.0ms

Algorithm
intervals
Results
9.0ms262×body80nan
7.0ms256×body80valid

simplify1.0ms

Counts
1 → 1
Iterations
IterNodes
done4
04

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:
6.0ms
(/ a (- (acos a)))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(/ a (- (acos a)))

simplify1.1s

Counts
60 → 60
Iterations
IterNodes
done5000
32093
2466
1173
096

prune287.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (acos a) a)
0.3b
(/ 1 (- (/ (acos a) a)))

rewrite37.0ms

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:
6.0ms
(/ (acos a) a)
24.0ms
(/ 1 (- (/ (acos a) a)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (acos a) a)
30.0ms
(/ 1 (- (/ (acos a) a)))

simplify1.4s

Counts
178 → 178
Iterations
IterNodes
done5000
22438
1545
0265

prune517.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- (acos a)))
0.4b
(/ (/ 1 (- (acos a))) (/ 1 a))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
1207×times-frac
550×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
138×distribute-lft-neg-in distribute-rgt-neg-in
51×div-inv
46×neg-mul-1 add-exp-log
37×associate-/l*
34×div-exp
23×associate-/r*
16×add-cbrt-cube
9×cbrt-undiv rec-exp 1-exp
3×pow1
2×expm1-log1p-u clear-num frac-2neg log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow associate-/l/
Counts
2 → 584
Calls
2 calls:
12.0ms
(/ 1 (- (acos a)))
32.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series62.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(/ 1 (- (acos a)))
46.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify2.4s

Counts
590 → 590
Iterations
IterNodes
done5001
12950
0811

prune766.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (pow (- (acos a)) 3))
0.4b
(/ (cbrt (/ 1 (pow (- (acos a)) 3))) (/ 1 a))
1.0b
(cbrt (/ 1 (pow (- (acos a)) 3)))
1.0b
(pow (- (acos a)) 3)

rewrite720.0ms

Algorithm
rewrite-expression-head
Rules
3127×times-frac
1402×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1230×cbrt-prod
500×unpow-prod-down cube-prod
300×distribute-lft-neg-in distribute-rgt-neg-in
103×div-inv
100×neg-mul-1
88×associate-/l*
50×cube-mult unpow3 sqr-pow
39×associate-/r*
23×add-exp-log
12×div-exp
10×add-cbrt-cube
5×pow1
4×expm1-log1p-u pow-to-exp cbrt-undiv rec-exp 1-exp pow-exp log1p-expm1-u add-log-exp
3×pow-unpow
2×cbrt-div clear-num frac-2neg
1×pow-pow pow1/3 cube-neg associate-/r/ pow-flip inv-pow rem-cube-cbrt associate-/l/
Counts
4 → 1487
Calls
4 calls:
12.0ms
(/ 1 (pow (- (acos a)) 3))
87.0ms
(/ (cbrt (/ 1 (pow (- (acos a)) 3))) (/ 1 a))
18.0ms
(cbrt (/ 1 (pow (- (acos a)) 3)))
8.0ms
(pow (- (acos a)) 3)

series401.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ 1 (pow (- (acos a)) 3))
119.0ms
(/ (cbrt (/ 1 (pow (- (acos a)) 3))) (/ 1 a))
77.0ms
(cbrt (/ 1 (pow (- (acos a)) 3)))
144.0ms
(pow (- (acos a)) 3)

simplify2.6s

Counts
1499 → 1499
Iterations
IterNodes
done5000
13501
01359

prune1.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done4
04

end0.0ms

sample948.0ms

Algorithm
intervals
Results
336.0ms8000×body80valid
251.0ms8212×body80nan