Details

Time bar (total: 18.6s)

sample41.0ms

Algorithm
intervals
Results
15.0ms331×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (13.0ms)

IterNodesCost
099
1159
2269
3498
4968
51398
61778
72128
82538
93388
104338
115058
125658
135918
done5918

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

2.4b
(fma (/ y a) (- z t) x)

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:
0.0ms
(fma (/ y a) (- z t) x)

series73.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(fma (/ y a) (- z t) x)

simplify1.0s

Counts
13 → 13
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
024154
141154
294138
3267123
41175123
done5000123

prune67.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (- z t) (/ a y)) x)
4.5b
(/ (- z t) (/ a y))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
229×times-frac
163×*-un-lft-identity
161×add-sqr-sqrt
107×add-cube-cbrt
70×fma-def
27×distribute-lft-out-- difference-of-squares
13×associate-/r* div-inv
7×add-exp-log add-cbrt-cube
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 expm1-log1p-u div-sub associate-/r/ log1p-expm1-u associate-/l/
1×+-commutative associate-+l- flip3-- frac-2neg flip3-+ clear-num sum-log flip-- flip-+ distribute-lft-out
Counts
2 → 188
Calls
2 calls:
135.0ms
(+ (/ (- z t) (/ a y)) x)
46.0ms
(/ (- z t) (/ a y))

series136.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ (/ (- z t) (/ a y)) x)
71.0ms
(/ (- z t) (/ a y))

simplify1.5s

Counts
194 → 194
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02241920
16031786
219181697
done50001689

prune731.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 1 (/ (/ a y) (- z t))) x)
0.4b
(/ 1 (/ (/ a y) (- z t)))
4.5b
(/ (/ a y) (- z t))

rewrite451.0ms

Algorithm
rewrite-expression-head
Rules
1315×times-frac
759×*-un-lft-identity
756×add-sqr-sqrt
546×add-cube-cbrt
218×fma-def
105×distribute-lft-out-- difference-of-squares
76×associate-/r*
52×div-inv
29×add-exp-log
18×div-exp associate-/r/
17×add-cbrt-cube
16×associate-/l*
9×cbrt-undiv
8×flip3-- flip--
5×add-log-exp
4×pow1
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 649
Calls
3 calls:
271.0ms
(+ (/ 1 (/ (/ a y) (- z t))) x)
33.0ms
(/ 1 (/ (/ a y) (- z t)))
19.0ms
(/ (/ a y) (- z t))

series221.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(+ (/ 1 (/ (/ a y) (- z t))) x)
83.0ms
(/ 1 (/ (/ a y) (- z t)))
72.0ms
(/ (/ a y) (- z t))

simplify2.7s

Counts
658 → 658
Iterations

Useful iterations: done (2.6s)

IterNodesCost
05848603
113737455
230386539
done50006419

prune2.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ a y)) (cbrt (/ a y)))
8.2b
(cbrt (/ a y))
8.2b
(cbrt (/ a y))
8.2b
(cbrt (/ a y))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
52.0ms
(* (cbrt (/ a y)) (cbrt (/ a y)))
4.0ms
(cbrt (/ a y))
5.0ms
(cbrt (/ a y))
5.0ms
(cbrt (/ a y))

series448.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(* (cbrt (/ a y)) (cbrt (/ a y)))
94.0ms
(cbrt (/ a y))
110.0ms
(cbrt (/ a y))
131.0ms
(cbrt (/ a y))

simplify4.2s

Counts
164 → 164
Iterations

Useful iterations: done (4.2s)

IterNodesCost
01651926
12651797
26721725
313631647
432341562
done50011476

prune835.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes328.0ms

Accuracy

90.5% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.6b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01843
12435
done2435

end0.0ms

sample2.0s

Algorithm
intervals
Results
708.0ms10733×body80valid