Details

Time bar (total: 19.5s)

sample80.0ms

Algorithm
intervals
Results
23.0ms295×body80nan
22.0ms274×body80valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
12414
26414
318814
445414
590614
6207814
done500114

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.2b
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (sqrt x))

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
31×add-sqr-sqrt
25×add-cube-cbrt
24×prod-diff
16×add-exp-log add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
12×associate-*r*
11×pow1
8×distribute-lft-out
6×add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u associate-*l* pow-prod-down sqrt-prod log1p-expm1-u
3×fma-def times-frac associate-/l*
2×cbrt-undiv sub-neg associate-*r/ div-exp associate--l+ *-commutative distribute-lft-out-- unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ clear-num associate-/r* sum-log flip-- flip-+ div-inv difference-of-squares
Counts
4 → 119
Calls
4 calls:
20.0ms
(+ y (/ 1.0 (* x 9.0)))
198.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
8.0ms
(/ 1.0 (* x 9.0))
15.0ms
(* 3.0 (sqrt x))

series236.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ y (/ 1.0 (* x 9.0)))
103.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
36.0ms
(/ 1.0 (* x 9.0))
60.0ms
(* 3.0 (sqrt x))

simplify1.8s

Counts
131 → 131
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02302240
16581945
239051672
done50001669

prune315.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.2b
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.3b
(/ 1.0 (* x 9.0))

rewrite587.0ms

Algorithm
rewrite-expression-head
Rules
96×*-un-lft-identity
75×distribute-rgt-in distribute-lft-in
72×prod-diff
59×add-sqr-sqrt
53×add-cube-cbrt
20×distribute-lft-out
16×add-exp-log add-cbrt-cube
11×pow1
9×associate-*l*
7×associate-*r*
6×sub-neg associate-*r/ associate--l+ add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u pow-prod-down sqrt-prod log1p-expm1-u
3×fma-def times-frac associate-/l*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num associate-/r* sum-log flip-+ div-inv difference-of-squares
Counts
4 → 181
Calls
4 calls:
11.0ms
(+ y (/ 1.0 (* x 9.0)))
253.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
288.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
22.0ms
(/ 1.0 (* x 9.0))

series236.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ y (/ 1.0 (* x 9.0)))
81.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
87.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
32.0ms
(/ 1.0 (* x 9.0))

simplify1.9s

Counts
193 → 193
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02774666
17313973
237173341
done50013335

prune360.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (* x 9.0))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (sqrt x))
0.5b
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
38×sqrt-prod
23×add-cube-cbrt *-un-lft-identity
21×pow1
18×add-exp-log times-frac add-cbrt-cube
16×associate-*r*
13×associate-*l*
12×swap-sqr
8×sqrt-pow1 pow1/2
6×div-inv associate-/l* unswap-sqr
5×pow-prod-up
4×cbrt-undiv expm1-log1p-u sqrt-div div-exp pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-sqr
2×frac-2neg clear-num associate-/r* *-commutative
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ rem-square-sqrt
Counts
4 → 136
Calls
4 calls:
8.0ms
(/ 1.0 (* x 9.0))
8.0ms
(/ 1.0 (* x 9.0))
10.0ms
(* 3.0 (sqrt x))
62.0ms
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

series194.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ 1.0 (* x 9.0))
25.0ms
(/ 1.0 (* x 9.0))
56.0ms
(* 3.0 (sqrt x))
77.0ms
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

simplify1.2s

Counts
148 → 148
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01921684
14311208
221571062
done50001046

prune455.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (sqrt x))
0.3b
(* (sqrt (sqrt (/ 1.0 (* x 9.0)))) (pow (sqrt (sqrt (/ 1.0 (* x 9.0)))) 3))
0.8b
(pow (sqrt (sqrt (/ 1.0 (* x 9.0)))) 3)

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
131×sqrt-prod
80×add-sqr-sqrt
38×associate-*r*
35×unpow-prod-down cube-prod
31×add-cube-cbrt *-un-lft-identity
26×unswap-sqr
18×times-frac
17×add-exp-log
16×associate-*l*
14×add-cbrt-cube
10×pow1 sqrt-div
6×div-inv
5×pow-pow prod-exp sqr-pow
4×expm1-log1p-u sqrt-pow1 log1p-expm1-u add-log-exp
3×cube-div pow-unpow cbrt-unprod associate-/l*
2×cbrt-undiv cube-mult pow-to-exp pow1/2 unpow3 div-exp pow-exp *-commutative
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* pow-prod-up sqrt-pow2 rem-cube-cbrt
Counts
4 → 185
Calls
4 calls:
8.0ms
(/ 1.0 (* x 9.0))
10.0ms
(* 3.0 (sqrt x))
113.0ms
(* (sqrt (sqrt (/ 1.0 (* x 9.0)))) (pow (sqrt (sqrt (/ 1.0 (* x 9.0)))) 3))
14.0ms
(pow (sqrt (sqrt (/ 1.0 (* x 9.0)))) 3)

series419.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ 1.0 (* x 9.0))
61.0ms
(* 3.0 (sqrt x))
73.0ms
(* (sqrt (sqrt (/ 1.0 (* x 9.0)))) (pow (sqrt (sqrt (/ 1.0 (* x 9.0)))) 3))
263.0ms
(pow (sqrt (sqrt (/ 1.0 (* x 9.0)))) 3)

simplify4.0s

Counts
197 → 197
Iterations

Useful iterations: done (4.0s)

IterNodesCost
02603338
17192989
239422488
done50002487

prune662.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes177.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
11614
done1614

end0.0ms

sample2.1s

Algorithm
intervals
Results
871.0ms8512×body80nan
697.0ms8543×body80valid