Details

Time bar (total: 16.6s)

sample36.0ms

Algorithm
intervals
Results
22.0ms309×body80valid

simplify55.0ms

Counts
1 → 1
Iterations
IterNodes
779
679
578
471
358
235
116
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.5b

localize9.0ms

Local error

Found 1 expressions with local error:

11.5b
(/ (* a1 a2) (* b1 b2))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×add-sqr-sqrt expm1-log1p-u pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 24
Calls
1 calls:
12.0ms
(/ (* a1 a2) (* b1 b2))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(/ (* a1 a2) (* b1 b2))

simplify3.3s

Counts
27 → 27
Iterations
IterNodes
37719
2917
1164
058

prune275.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

6.0b
(/ (* a1 a2) b1)
6.2b
(/ (/ (* a1 a2) b1) b2)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 75
Calls
2 calls:
10.0ms
(/ (* a1 a2) b1)
11.0ms
(/ (/ (* a1 a2) b1) b2)

series70.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (* a1 a2) b1)
40.0ms
(/ (/ (* a1 a2) b1) b2)

simplify1.4s

Counts
81 → 81
Iterations
IterNodes
34464
2887
1304
0128

prune771.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b1)
0.6b
(cbrt b1)
1.5b
(/ (/ a2 (cbrt b1)) b2)
8.8b
(* (/ a1 (* (cbrt b1) (cbrt b1))) (/ (/ a2 (cbrt b1)) b2))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
275×times-frac
171×add-sqr-sqrt
145×*-un-lft-identity add-cube-cbrt
71×cbrt-prod
70×associate-*r*
45×add-exp-log
35×add-cbrt-cube
22×associate-/l*
18×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
10×div-inv
8×unswap-sqr
7×associate-*l*
6×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r*
2×pow1/3
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 255
Calls
4 calls:
1.0ms
(cbrt b1)
1.0ms
(cbrt b1)
12.0ms
(/ (/ a2 (cbrt b1)) b2)
54.0ms
(* (/ a1 (* (cbrt b1) (cbrt b1))) (/ (/ a2 (cbrt b1)) b2))

series791.0ms

Counts
4 → 12
Calls
4 calls:
273.0ms
(cbrt b1)
306.0ms
(cbrt b1)
111.0ms
(/ (/ a2 (cbrt b1)) b2)
101.0ms
(* (/ a1 (* (cbrt b1) (cbrt b1))) (/ (/ a2 (cbrt b1)) b2))

simplify2.1s

Counts
267 → 267
Iterations
IterNodes
24275
11168
0372

prune3.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b1)
0.6b
(cbrt b1)
1.5b
(/ (* a2 (cbrt (/ 1 b1))) b2)
8.8b
(* (/ a1 (* (cbrt b1) (cbrt b1))) (/ (* a2 (cbrt (/ 1 b1))) b2))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
35×add-cbrt-cube
16×add-sqr-sqrt prod-exp cbrt-unprod
14×cbrt-undiv div-exp
12×*-un-lft-identity add-cube-cbrt
10×times-frac
7×associate-*r* associate-*l*
6×cbrt-prod pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* div-inv
2×pow1/3 associate-*r/ unswap-sqr
1×frac-times cbrt-div clear-num frac-2neg pow-prod-down associate-*l/ *-commutative associate-/l* associate-/l/
Counts
4 → 102
Calls
4 calls:
1.0ms
(cbrt b1)
1.0ms
(cbrt b1)
10.0ms
(/ (* a2 (cbrt (/ 1 b1))) b2)
46.0ms
(* (/ a1 (* (cbrt b1) (cbrt b1))) (/ (* a2 (cbrt (/ 1 b1))) b2))

series751.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(cbrt b1)
285.0ms
(cbrt b1)
137.0ms
(/ (* a2 (cbrt (/ 1 b1))) b2)
114.0ms
(* (/ a1 (* (cbrt b1) (cbrt b1))) (/ (* a2 (cbrt (/ 1 b1))) b2))

simplify506.0ms

Counts
114 → 114
Iterations
IterNodes
22105
1464
0163

prune1.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes588.0ms

Accuracy

43.4% (5.5b remaining)

Error of 5.6b against oracle of 0.1b and baseline of 9.7b

bsearch1.0ms

simplify7.0ms

Iterations
IterNodes
437
337
234
131
025

end0.0ms

sample1.1s

Algorithm
intervals
Results
782.0ms10039×body80valid