Details

Time bar (total: 13.6s)

sample28.0ms

Algorithm
intervals
Results
10.0ms266×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
2177
done177

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.1b
(/ x (- y (* z t)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
11.0ms
(- y (* z t))
31.0ms
(/ x (- y (* z t)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- y (* z t))
47.0ms
(/ x (- y (* z t)))

simplify2.6s

Counts
47 → 47
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
074506
1158492
2384454
3899454
42145453
done5000453

prune170.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.6b
(/ 1 (/ (- y (* z t)) x))
3.1b
(/ (- y (* z t)) x)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 118
Calls
3 calls:
5.0ms
(- y (* z t))
18.0ms
(/ 1 (/ (- y (* z t)) x))
23.0ms
(/ (- y (* z t)) x)

series268.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- y (* z t))
186.0ms
(/ 1 (/ (- y (* z t)) x))
46.0ms
(/ (- y (* z t)) x)

simplify2.2s

Counts
127 → 127
Iterations

Useful iterations: 3 (907.0ms)

IterNodesCost
01741898
13971669
28871484
324111466
done50011466

prune359.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.4b
(/ 1 (- y (* z t)))
3.0b
(* (/ 1 (- y (* z t))) x)

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*l*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×flip3-- associate-*r* associate-/r* flip-- associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
3 → 82
Calls
3 calls:
10.0ms
(- y (* z t))
19.0ms
(/ 1 (- y (* z t)))
61.0ms
(* (/ 1 (- y (* z t))) x)

series313.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- y (* z t))
91.0ms
(/ 1 (- y (* z t)))
187.0ms
(* (/ 1 (- y (* z t))) x)

simplify3.1s

Counts
91 → 91
Iterations

Useful iterations: 4 (1.9s)

IterNodesCost
0111997
1254863
2584781
31342771
43384770
done5000770

prune247.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.4b
(- (/ y x) (* (/ z x) t))
0.6b
(/ 1 (- (/ y x) (* (/ z x) t)))
4.1b
(* (/ z x) t)

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*l*
12×add-exp-log
10×add-cbrt-cube
6×pow1
5×associate-*l/ add-log-exp
4×associate-/r/
3×div-exp associate-*r* associate-/r* associate-/l*
2×cbrt-undiv flip3-- prod-exp frac-sub flip-- cbrt-unprod div-inv sub-div unswap-sqr
1×sub-neg rec-exp pow-flip frac-2neg diff-log 1-exp pow-prod-down clear-num *-commutative inv-pow
Counts
3 → 81
Calls
3 calls:
22.0ms
(- (/ y x) (* (/ z x) t))
29.0ms
(/ 1 (- (/ y x) (* (/ z x) t)))
28.0ms
(* (/ z x) t)

series178.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- (/ y x) (* (/ z x) t))
78.0ms
(/ 1 (- (/ y x) (* (/ z x) t)))
33.0ms
(* (/ z x) t)

simplify2.2s

Counts
90 → 90
Iterations

Useful iterations: 2 (186.0ms)

IterNodesCost
01391089
13091018
2793934
32617934
done5000934

prune164.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes382.0ms

Accuracy

38.8% (1.7b remaining)

Error of 1.9b against oracle of 0.1b and baseline of 3.0b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01624
12024
done2024

end0.0ms

sample893.0ms

Algorithm
intervals
Results
366.0ms8350×body80valid