Details

Time bar (total: 17.5s)

sample50.0ms

Algorithm
intervals
Results
20.0ms282×body80valid

simplify5.6s

Counts
1 → 1
Iterations

Useful iterations: 3 (16.0ms)

IterNodesCost
01011
11711
23211
36010
411510
519010
628610
742310
877210
9150710
10445910
done500010

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
2.2b
(fma (/ y (- a t)) (- z t) x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
21.0ms
(/ y (- a t))
1.0ms
(fma (/ y (- a t)) (- z t) x)

series275.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ y (- a t))
239.0ms
(fma (/ y (- a t)) (- z t) x)

simplify839.0ms

Counts
55 → 55
Iterations

Useful iterations: 3 (305.0ms)

IterNodesCost
092550
1173533
2440493
31606491
done5000491

prune200.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
0.9b
(/ 1 (/ (- a t) y))
2.2b
(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
101×add-sqr-sqrt *-un-lft-identity
69×add-cube-cbrt
22×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
10×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×flip3-- pow-flip div-sub associate-/r/ flip-- fma-udef inv-pow
Counts
3 → 152
Calls
3 calls:
35.0ms
(/ (- a t) y)
24.0ms
(/ 1 (/ (- a t) y))
0.0ms
(fma (/ 1 (/ (- a t) y)) (- z t) x)

series421.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ (- a t) y)
110.0ms
(/ 1 (/ (- a t) y))
280.0ms
(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify1.6s

Counts
161 → 161
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02102150
15201825
224501735
done50001548

prune445.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (- z t) (/ (- a t) y)) x)
0.0b
(/ (- a t) y)
10.3b
(/ (- z t) (/ (- a t) y))

rewrite268.0ms

Algorithm
rewrite-expression-head
Rules
370×times-frac
306×*-un-lft-identity
304×add-sqr-sqrt
152×add-cube-cbrt
100×fma-def
76×distribute-lft-out-- difference-of-squares
22×associate-/r*
14×div-inv
10×add-exp-log add-cbrt-cube associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 expm1-log1p-u div-sub log1p-expm1-u
2×flip3-- frac-2neg clear-num associate-/r/ flip--
1×+-commutative associate-+l- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 294
Calls
3 calls:
194.0ms
(+ (/ (- z t) (/ (- a t) y)) x)
17.0ms
(/ (- a t) y)
31.0ms
(/ (- z t) (/ (- a t) y))

series326.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(+ (/ (- z t) (/ (- a t) y)) x)
30.0ms
(/ (- a t) y)
173.0ms
(/ (- z t) (/ (- a t) y))

simplify1.9s

Counts
303 → 303
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02793442
18743264
241893113
done50023107

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.3b
(fma (/ (- z t) (- a t)) y x)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
24.0ms
(/ (- z t) (- a t))
0.0ms
(fma (/ (- z t) (- a t)) y x)

series179.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(/ (- z t) (- a t))
95.0ms
(fma (/ (- z t) (- a t)) y x)

simplify2.2s

Counts
70 → 70
Iterations

Useful iterations: 3 (765.0ms)

IterNodesCost
0113884
1264856
2826810
34312808
done5000808

prune204.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
done910

end0.0ms

sample1.4s

Algorithm
intervals
Results
478.0ms8719×body80valid
0.0ms1×body160valid