Details

Time bar (total: 11.2s)

sample57.0ms

Algorithm
intervals
Results
36.0ms330×body80valid
0.0ms1×body640valid
0.0ms1×body320valid

simplify408.0ms

Counts
1 → 1
Iterations
IterNodes
8511
7511
6501
5395
4228
3114
239
119
011

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
7×add-log-exp
6×add-sqr-sqrt distribute-lft-out
5×associate-*l*
4×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
3×sum-log associate-*r*
2×flip3-+ associate-*l/ flip-+ insert-posit16
1×+-commutative associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
17.0ms
(+ d3 (+ d2 37))
40.0ms
(* (+ d3 (+ d2 37)) d1)

series50.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(+ d3 (+ d2 37))
36.0ms
(* (+ d3 (+ d2 37)) d1)

simplify843.0ms

Counts
45 → 45
Iterations
IterNodes
32818
2586
1165
064

prune380.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
4×sum-log associate-*l*
3×flip3-+ associate-*r* flip-+ insert-posit16
2×+-commutative associate-*l/
1×associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 48
Calls
3 calls:
32.0ms
(* (+ d3 5) d1)
50.0ms
(+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32))
13.0ms
(+ (* d1 d2) (* (+ d3 5) d1))

series136.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* (+ d3 5) d1)
58.0ms
(+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32))
39.0ms
(+ (* d1 d2) (* (+ d3 5) d1))

simplify1.9s

Counts
57 → 57
Iterations
IterNodes
35177
21075
1284
097

prune517.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ d2 37) (+ d2 37))
2.5b
(- (* d3 d3) (* (+ d2 37) (+ d2 37)))
5.3b
(* (- (* d3 d3) (* (+ d2 37) (+ d2 37))) d1)
15.2b
(/ (* (- (* d3 d3) (* (+ d2 37) (+ d2 37))) d1) (- d3 (+ d2 37)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-cbrt-cube add-exp-log
12×add-cube-cbrt
8×associate-*l* distribute-lft-out
7×associate-*r*
6×associate-/r* flip3-+ times-frac swap-sqr associate-*l/ flip-+ add-log-exp
4×frac-times flip3-- insert-posit16 flip-- distribute-lft-out-- difference-of-squares
3×prod-exp cbrt-unprod
2×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp pow-prod-down associate-*r/ associate-/r/ *-commutative associate--r+ unswap-sqr associate-/l/
1×pow2 clear-num sub-neg frac-2neg pow-plus diff-log pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 111
Calls
4 calls:
23.0ms
(* (+ d2 37) (+ d2 37))
7.0ms
(- (* d3 d3) (* (+ d2 37) (+ d2 37)))
23.0ms
(* (- (* d3 d3) (* (+ d2 37) (+ d2 37))) d1)
67.0ms
(/ (* (- (* d3 d3) (* (+ d2 37) (+ d2 37))) d1) (- d3 (+ d2 37)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (+ d2 37) (+ d2 37))
43.0ms
(- (* d3 d3) (* (+ d2 37) (+ d2 37)))
74.0ms
(* (- (* d3 d3) (* (+ d2 37) (+ d2 37))) d1)
62.0ms
(/ (* (- (* d3 d3) (* (+ d2 37) (+ d2 37))) d1) (- d3 (+ d2 37)))

simplify721.0ms

Counts
123 → 123
Iterations
IterNodes
22194
1554
0182

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* d1 d2) (* (+ d3 5) d1))
0.0b
(sqrt (+ (* d1 d2) (* (+ d3 5) d1)))
0.0b
(sqrt (+ (* d1 d2) (* (+ d3 5) d1)))
0.2b
(* (sqrt (+ (* d1 d2) (* (+ d3 5) d1))) (sqrt (+ (* d1 d2) (* (+ d3 5) d1))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×*-un-lft-identity add-cube-cbrt
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-cbrt-cube associate-*r* associate-*l* add-exp-log add-log-exp
5×pow-prod-up
4×frac-times insert-posit16 unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*l/ associate-*r/
1×pow2 +-commutative sum-log rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
16.0ms
(+ (* d1 d2) (* (+ d3 5) d1))
13.0ms
(sqrt (+ (* d1 d2) (* (+ d3 5) d1)))
12.0ms
(sqrt (+ (* d1 d2) (* (+ d3 5) d1)))
65.0ms
(* (sqrt (+ (* d1 d2) (* (+ d3 5) d1))) (sqrt (+ (* d1 d2) (* (+ d3 5) d1))))

series315.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (* d1 d2) (* (+ d3 5) d1))
102.0ms
(sqrt (+ (* d1 d2) (* (+ d3 5) d1)))
128.0ms
(sqrt (+ (* d1 d2) (* (+ d3 5) d1)))
45.0ms
(* (sqrt (+ (* d1 d2) (* (+ d3 5) d1))) (sqrt (+ (* d1 d2) (* (+ d3 5) d1))))

simplify1.5s

Counts
114 → 114
Iterations
IterNodes
34331
2946
1286
0118

prune991.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes239.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
210
110
07

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s10023×body80valid
26.0ms17×body640valid
2.0ms7×body1280valid
2.0ms11×body320valid
1.0ms6×body160valid