Details

Time bar (total: 23.3s)

sample57.0ms

Algorithm
intervals
Results
36.0ms321×body80valid
1.0ms2×body640valid
0.0ms1×body320valid

simplify343.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
342.0ms
(+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32))

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d2 (+ d3 37)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*r/
1×distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
Slowest
65.0ms
(* d1 (+ d2 (+ d3 37)))

series36.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
36.0ms
(* d1 (+ d2 (+ d3 37)))

simplify1.3s

Counts
19 → 30
Calls
19 calls:
Slowest
324.0ms
(* (* (* d1 d1) d1) (* (* (+ d2 (+ d3 37)) (+ d2 (+ d3 37))) (+ d2 (+ d3 37))))
299.0ms
(+ (* d2 d2) (- (* (+ d3 37) (+ d3 37)) (* d2 (+ d3 37))))
123.0ms
(+ (* d2 d1) (+ (* d3 d1) (* 37 d1)))
99.0ms
(+ (* d2 d1) (+ (* d3 d1) (* 37 d1)))
96.0ms
(+ (* d2 d1) (+ (* d3 d1) (* 37 d1)))

prune232.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32))
0.0b
(+ (* d1 d2) (* (+ d3 5) d1))
0.0b
(* (+ d3 5) d1)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
5×pow1 add-cbrt-cube add-exp-log
4×sum-log fma-def associate-*l*
3×expm1-log1p-u flip3-+ associate-*r* flip-+ insert-posit16 log1p-expm1-u
2×+-commutative associate-*l/
1×associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 58
Calls
3 calls:
Slowest
40.0ms
(+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32))
17.0ms
(* (+ d3 5) d1)
8.0ms
(+ (* d1 d2) (* (+ d3 5) d1))

series148.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
62.0ms
(+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32))
49.0ms
(+ (* d1 d2) (* (+ d3 5) d1))
37.0ms
(* (+ d3 5) d1)

simplify2.6s

Counts
26 → 67
Calls
26 calls:
Slowest
552.0ms
(* (* (* (+ d3 5) (+ d3 5)) (+ d3 5)) (* (* d1 d1) d1))
313.0ms
(* (exp (* d1 d2)) (exp (* (+ d3 5) d1)))
253.0ms
(* (* (exp (* d1 d2)) (exp (* (+ d3 5) d1))) (exp (* d1 32)))
214.0ms
(* (+ (pow d3 3) (pow 5 3)) d1)
197.0ms
(* (- (* d3 d3) (* 5 5)) d1)

prune602.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt d1)
0.6b
(cbrt d1)
0.6b
(cbrt d1)
0.5b
(* (cbrt d1) (cbrt d1))

rewrite27.0ms

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 insert-posit16 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 → 85
Calls
4 calls:
Slowest
21.0ms
(* (cbrt d1) (cbrt d1))
1.0ms
(cbrt d1)
1.0ms
(cbrt d1)
1.0ms
(cbrt d1)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
331.0ms
(cbrt d1)
316.0ms
(* (cbrt d1) (cbrt d1))
267.0ms
(cbrt d1)
219.0ms
(cbrt d1)

simplify944.0ms

Counts
63 → 97
Calls
63 calls:
Slowest
139.0ms
(* (pow (* d1 -1) 1/3) (cbrt -1))
135.0ms
(* (pow (* d1 -1) 1/3) (cbrt -1))
129.0ms
(* (pow (* d1 -1) 1/3) (cbrt -1))
110.0ms
(* (pow (cbrt -1) 2) (pow (pow d1 2) 1/3))
102.0ms
(* (* (cbrt (cbrt d1)) (cbrt (cbrt d1))) (* (cbrt (cbrt d1)) (cbrt (cbrt d1))))

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (* d1 (+ d2 (+ d3 37)))) (sqrt (* d1 (+ d2 (+ d3 37)))))
0.1b
(sqrt (* d1 (+ d2 (+ d3 37))))
0.1b
(sqrt (* d1 (+ d2 (+ d3 37))))
0.0b
(* d1 (+ d2 (+ d3 37)))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
15×*-un-lft-identity
14×add-sqr-sqrt
12×pow1/2
10×pow-prod-up add-cube-cbrt
9×flip3-+ associate-*r* flip-+
8×add-cbrt-cube add-exp-log
7×associate-*l*
6×pow-sqr sqrt-prod
4×expm1-log1p-u frac-times swap-sqr insert-posit16 log1p-expm1-u add-log-exp
3×distribute-lft-out
2×associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in rem-square-sqrt distribute-lft-in pow-plus sqrt-unprod
Counts
4 → 119
Calls
4 calls:
Slowest
129.0ms
(* (sqrt (* d1 (+ d2 (+ d3 37)))) (sqrt (* d1 (+ d2 (+ d3 37)))))
34.0ms
(* d1 (+ d2 (+ d3 37)))
23.0ms
(sqrt (* d1 (+ d2 (+ d3 37))))
10.0ms
(sqrt (* d1 (+ d2 (+ d3 37))))

series436.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
224.0ms
(* (sqrt (* d1 (+ d2 (+ d3 37)))) (sqrt (* d1 (+ d2 (+ d3 37)))))
89.0ms
(sqrt (* d1 (+ d2 (+ d3 37))))
76.0ms
(sqrt (* d1 (+ d2 (+ d3 37))))
47.0ms
(* d1 (+ d2 (+ d3 37)))

simplify10.6s

Counts
114 → 131
Calls
114 calls:
Slowest
412.0ms
(sqrt (* d1 (+ (pow d2 3) (pow (+ d3 37) 3))))
371.0ms
(* (sqrt (+ (* d2 d2) (- (* (+ d3 37) (+ d3 37)) (* d2 (+ d3 37))))) (sqrt (- d2 (+ d3 37))))
370.0ms
(* (sqrt (* d1 (+ (pow d2 3) (pow (+ d3 37) 3)))) (sqrt (* d1 (+ (pow d2 3) (pow (+ d3 37) 3)))))
349.0ms
(sqrt (* d1 (+ (pow d2 3) (pow (+ d3 37) 3))))
331.0ms
(* (* (* d1 d1) d1) (* (* (+ d2 (+ d3 37)) (+ d2 (+ d3 37))) (+ d2 (+ d3 37))))

prune1.2s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes271.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.5s10131×body80valid
5.0ms14×body640valid
4.0ms13×body320valid
3.0ms7×body1280valid
1.0ms7×body160valid