Details

Time bar (total: 38.0s)

sample1.5s

Algorithm
intervals
Results
701.0ms66×body80nan
328.0ms41×body640valid
200.0ms68×body1280valid
48.0ms127×body80valid
22.0ms19×body320valid
11.0ms15×body160valid

simplify1.2s

Counts
1 → 1

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.8b

localize44.0ms

Local error

Found 4 expressions with local error:

17.5b
(pow (fma 2 x (fma F F 2)) -1/2)
6.9b
(* (pow (fma 2 x (fma F F 2)) -1/2) (/ F (sin B)))
0.2b
(/ x (tan B))
0.1b
(/ F (sin B))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
31×*-un-lft-identity add-cube-cbrt
30×times-frac
22×add-exp-log
13×add-cbrt-cube associate-*r*
8×unpow-prod-down
7×associate-*l*
6×associate-/r* prod-exp associate-/l* unswap-sqr
5×pow1 div-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp sqr-pow
3×pow-to-exp cbrt-undiv pow-unpow pow-exp div-inv
2×clear-num frac-2neg cbrt-unprod
1×pow-pow tan-quot associate-*r/ associate-/r/ *-commutative
Counts
4 → 127
Calls
4 calls:
Slowest
20.0ms
(* (pow (fma 2 x (fma F F 2)) -1/2) (/ F (sin B)))
10.0ms
(/ x (tan B))
9.0ms
(/ F (sin B))
4.0ms
(pow (fma 2 x (fma F F 2)) -1/2)

series780.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
333.0ms
(pow (fma 2 x (fma F F 2)) -1/2)
231.0ms
(* (pow (fma 2 x (fma F F 2)) -1/2) (/ F (sin B)))
144.0ms
(/ x (tan B))
71.0ms
(/ F (sin B))

simplify2.2s

Counts
139 → 139

prune2.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.4b

localize62.0ms

Local error

Found 4 expressions with local error:

17.5b
(pow (fma 2 x (fma F F 2)) -1/2)
0.8b
(/ (* (pow (fma 2 x (fma F F 2)) -1/2) F) (sin B))
0.3b
(* (pow (fma 2 x (fma F F 2)) -1/2) F)
0.2b
(/ x (tan B))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×add-exp-log
19×*-un-lft-identity add-cube-cbrt
13×add-cbrt-cube
12×times-frac
7×unpow-prod-down associate-*l*
6×associate-/r* prod-exp
5×pow1 div-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u associate-/l* add-log-exp
3×pow-to-exp cbrt-undiv pow-unpow associate-*r* pow-exp unswap-sqr sqr-pow
2×clear-num frac-2neg cbrt-unprod div-inv
1×pow-pow tan-quot associate-/r/ *-commutative
Counts
4 → 105
Calls
4 calls:
Slowest
11.0ms
(/ (* (pow (fma 2 x (fma F F 2)) -1/2) F) (sin B))
8.0ms
(* (pow (fma 2 x (fma F F 2)) -1/2) F)
8.0ms
(/ x (tan B))
2.0ms
(pow (fma 2 x (fma F F 2)) -1/2)

series752.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
273.0ms
(pow (fma 2 x (fma F F 2)) -1/2)
212.0ms
(/ (* (pow (fma 2 x (fma F F 2)) -1/2) F) (sin B))
142.0ms
(/ x (tan B))
125.0ms
(* (pow (fma 2 x (fma F F 2)) -1/2) F)

simplify2.4s

Counts
117 → 117

prune1.8s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.4b

localize42.0ms

Local error

Found 4 expressions with local error:

17.5b
(pow (fma 2 x (fma F F 2)) -1/2)
0.8b
(/ (log1p (expm1 (* (pow (fma 2 x (fma F F 2)) -1/2) F))) (sin B))
0.3b
(expm1 (* (pow (fma 2 x (fma F F 2)) -1/2) F))
0.3b
(* (pow (fma 2 x (fma F F 2)) -1/2) F)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
17×*-un-lft-identity add-cube-cbrt
12×add-exp-log
9×times-frac
8×add-cbrt-cube
7×unpow-prod-down associate-*l*
5×pow1 log1p-expm1-u
4×expm1-log1p-u insert-posit16 add-log-exp
3×pow-unpow associate-/r* associate-*r* prod-exp associate-/l* unswap-sqr sqr-pow
2×pow-to-exp pow-exp
1×cbrt-undiv expm1-log1p clear-num pow-pow frac-2neg div-exp *-commutative cbrt-unprod div-inv expm1-udef
Counts
4 → 90
Calls
4 calls:
Slowest
8.0ms
(* (pow (fma 2 x (fma F F 2)) -1/2) F)
5.0ms
(/ (log1p (expm1 (* (pow (fma 2 x (fma F F 2)) -1/2) F))) (sin B))
2.0ms
(pow (fma 2 x (fma F F 2)) -1/2)
0.0ms
(expm1 (* (pow (fma 2 x (fma F F 2)) -1/2) F))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
577.0ms
(/ (log1p (expm1 (* (pow (fma 2 x (fma F F 2)) -1/2) F))) (sin B))
289.0ms
(pow (fma 2 x (fma F F 2)) -1/2)
203.0ms
(expm1 (* (pow (fma 2 x (fma F F 2)) -1/2) F))
171.0ms
(* (pow (fma 2 x (fma F F 2)) -1/2) F)

simplify1.8s

Counts
102 → 102

prune1.8s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.4b

localize81.0ms

Local error

Found 4 expressions with local error:

17.5b
(sqrt (fma 2 x (fma F F 2)))
17.5b
(sqrt (fma 2 x (fma F F 2)))
0.8b
(/ (log1p (expm1 (* (* (pow (sqrt (fma 2 x (fma F F 2))) -1/2) (pow (sqrt (fma 2 x (fma F F 2))) -1/2)) F))) (sin B))
0.6b
(* (pow (sqrt (fma 2 x (fma F F 2))) -1/2) (pow (sqrt (fma 2 x (fma F F 2))) -1/2))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
44×unpow-prod-down
28×sqrt-prod
26×*-un-lft-identity add-cube-cbrt
18×add-exp-log
16×unswap-sqr
12×swap-sqr sqr-pow
10×associate-*r* associate-*l*
9×times-frac prod-exp
8×add-cbrt-cube
6×pow-to-exp pow1 pow-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×pow2 cbrt-undiv clear-num frac-2neg div-exp pow-prod-down pow-sqr *-commutative pow-prod-up cbrt-unprod div-inv
Counts
4 → 135
Calls
4 calls:
Slowest
31.0ms
(* (pow (sqrt (fma 2 x (fma F F 2))) -1/2) (pow (sqrt (fma 2 x (fma F F 2))) -1/2))
10.0ms
(/ (log1p (expm1 (* (* (pow (sqrt (fma 2 x (fma F F 2))) -1/2) (pow (sqrt (fma 2 x (fma F F 2))) -1/2)) F))) (sin B))
2.0ms
(sqrt (fma 2 x (fma F F 2)))
2.0ms
(sqrt (fma 2 x (fma F F 2)))

series933.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
545.0ms
(/ (log1p (expm1 (* (* (pow (sqrt (fma 2 x (fma F F 2))) -1/2) (pow (sqrt (fma 2 x (fma F F 2))) -1/2)) F))) (sin B))
151.0ms
(sqrt (fma 2 x (fma F F 2)))
139.0ms
(sqrt (fma 2 x (fma F F 2)))
97.0ms
(* (pow (sqrt (fma 2 x (fma F F 2))) -1/2) (pow (sqrt (fma 2 x (fma F F 2))) -1/2))

simplify2.1s

Counts
147 → 147

prune2.8s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 8.4b

regimes402.0ms

Accuracy

0% (0.6b remaining)

Error of 10.5b against oracle of 10.0b and baseline of 10.5b

bsearch10.0ms

end0.0ms

sample13.6s

Algorithm
intervals
Results
5.7s1709×body1280valid
3.3s1323×body640valid
2.2s4765×body80valid
1.0s712×body320valid
685.0ms1624×body80nan
312.0ms333×body160valid