Details

Time bar (total: 14.3s)

sample35.0ms

Algorithm
intervals
Results
11.0ms262×body80nan
8.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done4
04

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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)))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ a (- (acos a)))

simplify1.6s

Counts
60 → 60
Iterations
IterNodes
done5000
32093
2466
1173
096

prune271.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
140×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
48×distribute-lft-neg-in distribute-rgt-neg-in
37×associate-/r*
16×neg-mul-1
15×add-exp-log
13×associate-/l*
9×add-cbrt-cube
8×div-exp
6×div-inv
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp log1p-expm1-u add-log-exp
1×neg-sub0 div-sub distribute-frac-neg associate-/r/ pow-flip inv-pow
Counts
2 → 221
Calls
2 calls:
12.0ms
(/ (- (acos a)) a)
25.0ms
(/ 1 (/ (- (acos a)) a))

series91.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- (acos a)) a)
39.0ms
(/ 1 (/ (- (acos a)) a))

simplify1.9s

Counts
227 → 227
Iterations
IterNodes
done5001
23977
1790
0292

prune1.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite110.0ms

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:
7.0ms
(/ 1 (- (acos a)))
54.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series82.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(/ 1 (- (acos a)))
69.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify3.3s

Counts
590 → 590
Iterations
IterNodes
done5001
12950
0811

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (cbrt (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a))))) (/ 1 a))
1.0b
(* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a))))
1.0b
(cbrt (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))))
1.0b
(* (/ 1 (- (acos a))) (/ 1 (- (acos a))))

rewrite369.0ms

Algorithm
rewrite-expression-head
Rules
302×add-exp-log
273×times-frac
185×add-sqr-sqrt
178×*-un-lft-identity
157×add-cube-cbrt
148×prod-exp
120×div-exp
68×associate-*r*
60×add-cbrt-cube
59×pow1
58×rec-exp 1-exp
51×distribute-rgt-neg-in
45×distribute-lft-neg-in
42×swap-sqr
35×associate-*l*
31×pow-prod-up
29×pow-flip inv-pow
22×cbrt-unprod
20×cbrt-undiv cbrt-div
19×frac-times associate-*l/
15×cbrt-prod neg-mul-1
13×associate-/r* div-inv
12×unswap-sqr
10×pow-prod-down associate-*r/ un-div-inv associate-/l/
9×pow-sqr
7×pow-plus
4×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
3×pow2
2×pow3 *-commutative
1×clear-num frac-2neg pow1/3 associate-/r/ rem-cbrt-cube
Counts
4 → 447
Calls
4 calls:
22.0ms
(/ (cbrt (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a))))) (/ 1 a))
98.0ms
(* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a))))
112.0ms
(cbrt (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))))
88.0ms
(* (/ 1 (- (acos a))) (/ 1 (- (acos a))))

series285.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(/ (cbrt (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a))))) (/ 1 a))
67.0ms
(* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a))))
73.0ms
(cbrt (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))))
31.0ms
(* (/ 1 (- (acos a))) (/ 1 (- (acos a))))

simplify1.5s

Counts
459 → 459
Iterations
IterNodes
done5000
11930
0539

prune1.5s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes88.0ms

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

sample881.0ms

Algorithm
intervals
Results
288.0ms8000×body80valid
260.0ms8212×body80nan