Details

Time bar (total: 13.8s)

sample33.0ms

Algorithm
intervals
Results
13.0ms288×body80valid
0.0ms2×body1280valid
0.0ms1×body640valid

simplify123.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0911
1199
2457
3727
4837
5847
done847

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* d1 (+ 20.0 (+ 10.0 d2)))
0.0b
(+ 20.0 (+ 10.0 d2))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
7×add-sqr-sqrt add-log-exp
6×distribute-lft-out
5×add-cube-cbrt associate-*r*
4×pow1 add-exp-log add-cbrt-cube
3×fma-def associate-*l* sum-log
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×+-commutative distribute-rgt-in associate-+r+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 46
Calls
2 calls:
78.0ms
(* d1 (+ 20.0 (+ 10.0 d2)))
22.0ms
(+ 20.0 (+ 10.0 d2))

series68.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* d1 (+ 20.0 (+ 10.0 d2)))
29.0ms
(+ 20.0 (+ 10.0 d2))

simplify2.1s

Counts
52 → 52
Iterations

Useful iterations: 3 (842.0ms)

IterNodesCost
069420
1191402
2660364
33199361
done5000361

prune114.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* d1 10.0) (* d1 d2))
0.2b
(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
5×fma-def
4×sum-log distribute-lft-out
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
1×associate-+l+
Counts
2 → 35
Calls
2 calls:
19.0ms
(+ (* d1 10.0) (* d1 d2))
57.0ms
(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

series122.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(+ (* d1 10.0) (* d1 d2))
55.0ms
(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

simplify2.7s

Counts
41 → 41
Iterations

Useful iterations: done (2.7s)

IterNodesCost
061473
1201364
2812309
33686306
done5000305

prune104.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))
0.0b
(* (+ 10.0 d2) (+ 10.0 d2))
5.9b
(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
10.3b
(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
8×associate-*r* distribute-lft-out
7×associate-*l*
6×flip3-+ times-frac associate-*r/ swap-sqr associate-/r* flip-+ add-log-exp
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u frac-times flip3-- flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
3×sub-neg prod-diff prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ associate--r+ unswap-sqr
1×pow2 frac-2neg pow-plus fma-neg diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 123
Calls
4 calls:
16.0ms
(- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))
47.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
32.0ms
(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
78.0ms
(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

series249.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))
16.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
62.0ms
(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
148.0ms
(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

simplify2.2s

Counts
135 → 135
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01932285
15322119
220901840
done50001583

prune405.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma 30.0 d1 (* d1 d2))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma 30.0 d1 (* d1 d2))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(fma 30.0 d1 (* d1 d2))

simplify4.5s

Counts
13 → 13
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
016108
120105
24980
320180
473280
5352680
done500080

prune26.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
166
done66

end0.0ms

sample554.0ms

Algorithm
intervals
Results
266.0ms9002×body80valid
8.0ms65×body1280valid
5.0ms46×body640valid
2.0ms23×body320valid
1.0ms15×body160valid