Details

Time bar (total: 12.9s)

sample47.0ms

Algorithm
intervals
Results
18.0ms327×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2289
3489
4799
51299
62979
78239
826799
done50019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
8.3b
(/ (* (- y x) z) t)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 57
Calls
3 calls:
13.0ms
(+ x (/ (* (- y x) z) t))
30.0ms
(* (- y x) z)
30.0ms
(/ (* (- y x) z) t)

series161.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ x (/ (* (- y x) z) t))
49.0ms
(* (- y x) z)
65.0ms
(/ (* (- y x) z) t)

simplify1.2s

Counts
66 → 66
Iterations

Useful iterations: 2 (192.0ms)

IterNodesCost
0110688
1292653
21514583
done5002583

prune197.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.8b
(* (- y x) (/ z t))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
16.0ms
(+ x (* (- y x) (/ z t)))
44.0ms
(* (- y x) (/ z t))

series119.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(+ x (* (- y x) (/ z t)))
66.0ms
(* (- y x) (/ z t))

simplify983.0ms

Counts
55 → 55
Iterations

Useful iterations: done (980.0ms)

IterNodesCost
0115669
1308631
21520581
done5000557

prune188.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
7.1b
(/ (- y x) (/ t z))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
64.0ms
(+ x (/ (- y x) (/ t z)))
25.0ms
(/ (- y x) (/ t z))

series156.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(+ x (/ (- y x) (/ t z)))
82.0ms
(/ (- y x) (/ t z))

simplify1.2s

Counts
120 → 120
Iterations

Useful iterations: 2 (351.0ms)

IterNodesCost
02171896
16641792
230141704
done50001704

prune283.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

6.1b
(cbrt (/ (- y x) (/ t z)))
7.1b
(/ (- y x) (/ t z))
7.1b
(/ (- y x) (/ t z))
7.1b
(/ (- y x) (/ t z))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
467×times-frac
331×add-sqr-sqrt *-un-lft-identity
221×add-cube-cbrt
70×cbrt-prod
55×distribute-lft-out-- difference-of-squares
39×associate-/r*
27×div-inv
19×add-exp-log add-cbrt-cube
15×associate-/l*
9×cbrt-undiv div-exp
6×associate-/l/
4×pow1 associate-/r/ add-log-exp
3×flip3-- frac-2neg div-sub clear-num flip--
1×cbrt-div pow1/3
Counts
4 → 382
Calls
4 calls:
16.0ms
(cbrt (/ (- y x) (/ t z)))
22.0ms
(/ (- y x) (/ t z))
28.0ms
(/ (- y x) (/ t z))
20.0ms
(/ (- y x) (/ t z))

series793.0ms

Counts
4 → 12
Calls
4 calls:
235.0ms
(cbrt (/ (- y x) (/ t z)))
429.0ms
(/ (- y x) (/ t z))
60.0ms
(/ (- y x) (/ t z))
68.0ms
(/ (- y x) (/ t z))

simplify1.3s

Counts
394 → 394
Iterations

Useful iterations: done (1.3s)

IterNodesCost
03526638
18246321
232976022
done50026002

prune1.5s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes158.0ms

Accuracy

4.7% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.0b

bsearch81.0ms

Steps
ItersRangePoint
11
4.696249622730591e-275
4.075458708056599e-250
1.163685728587468e-252
7
-3.3402553218442287e-108
-5.618871566353063e-110
-8.19725118199245e-110

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01937
12927
23027
done3027

end0.0ms

sample1.1s

Algorithm
intervals
Results
552.0ms10684×body80valid