Details

Time bar (total: 17.5s)

sample44.0ms

Algorithm
intervals
Results
16.0ms348×body80valid

simplify4.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (13.0ms)

IterNodesCost
099
1159
2269
3498
41008
51748
62568
73388
85998
911518
1034568
done50008

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 1 expressions with local error:

1.6b
(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)

series64.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(fma (/ y a) (- z t) x)

simplify1.9s

Counts
13 → 13
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
024154
141154
294138
3282123
42029123
done5002123

prune65.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite141.0ms

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:
89.0ms
(+ (/ (- z t) (/ a y)) x)
41.0ms
(/ (- z t) (/ a y))

series156.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(+ (/ (- z t) (/ a y)) x)
85.0ms
(/ (- z t) (/ a y))

simplify1.4s

Counts
194 → 194
Iterations

Useful iterations: 2 (434.0ms)

IterNodesCost
02241920
16751808
230821697
done50011697

prune736.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.9b
(/ (- z t) (/ a (cbrt y)))
3.9b
(fma (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ (- z t) (/ a (cbrt y))) x)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
153×add-sqr-sqrt *-un-lft-identity
107×add-cube-cbrt
60×cbrt-prod
23×distribute-lft-out-- difference-of-squares
22×associate-/r*
9×add-exp-log
8×add-cbrt-cube
7×div-inv
5×associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp
2×pow1/3 associate-/l/
1×flip3-- frac-2neg div-sub clear-num associate-/r/ flip-- fma-udef
Counts
4 → 193
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
36.0ms
(/ (- z t) (/ a (cbrt y)))
1.0ms
(fma (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ (- z t) (/ a (cbrt y))) x)

series1.0s

Counts
4 → 12
Calls
4 calls:
230.0ms
(cbrt y)
315.0ms
(cbrt y)
236.0ms
(/ (- z t) (/ a (cbrt y)))
264.0ms
(fma (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ (- z t) (/ a (cbrt y))) x)

simplify670.0ms

Counts
205 → 205
Iterations

Useful iterations: done (658.0ms)

IterNodesCost
03093410
19333166
done50003010

prune1.0s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) a)
0.0b
(+ (/ (/ (- z t) a) (/ 1 y)) x)
7.5b
(/ (/ (- z t) a) (/ 1 y))

rewrite447.0ms

Algorithm
rewrite-expression-head
Rules
1265×times-frac
702×*-un-lft-identity
700×add-sqr-sqrt
530×add-cube-cbrt
252×fma-def
85×distribute-lft-out-- difference-of-squares
69×div-inv
27×add-exp-log
24×associate-/l*
17×div-exp add-cbrt-cube
16×associate-/r*
9×cbrt-undiv
5×div-sub add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u associate-/l/
2×rec-exp frac-2neg 1-exp clear-num associate-/r/
1×+-commutative associate-+l- flip3-- flip3-+ sum-log flip-- flip-+ distribute-lft-out
Counts
3 → 613
Calls
3 calls:
26.0ms
(/ (- z t) a)
263.0ms
(+ (/ (/ (- z t) a) (/ 1 y)) x)
66.0ms
(/ (/ (- z t) a) (/ 1 y))

series184.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ (- z t) a)
85.0ms
(+ (/ (/ (- z t) a) (/ 1 y)) x)
65.0ms
(/ (/ (- z t) a) (/ 1 y))

simplify1.2s

Counts
622 → 622
Iterations

Useful iterations: done (1.1s)

IterNodesCost
05457642
117986443
done50015818

prune1.8s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes288.0ms

Accuracy

34.4% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.4b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02548
12848
done2848

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.0s10636×body80valid