Details

Time bar (total: 12.0s)

sample37.0ms

Algorithm
intervals
Results
13.0ms334×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 5 (112.0ms)

IterNodesCost
099
1169
2329
3719
41739
54118
615318
done50008

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

1.1b
(fma (/ y a) (- t z) 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) (- t z) x)

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(fma (/ y a) (- t z) x)

simplify2.0s

Counts
13 → 13
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
024154
141154
294138
3288123
42297123
done5000123

prune81.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (- t z) (/ a y)) x)
5.4b
(/ (- t z) (/ a y))

rewrite143.0ms

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:
103.0ms
(+ (/ (- t z) (/ a y)) x)
26.0ms
(/ (- t z) (/ a y))

series130.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(+ (/ (- t z) (/ a y)) x)
56.0ms
(/ (- t z) (/ a y))

simplify1.4s

Counts
194 → 194
Iterations

Useful iterations: 2 (414.0ms)

IterNodesCost
02241920
16751800
231821697
done50001697

prune975.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.6b
(/ (* y (- z t)) a)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt prod-diff
37×*-un-lft-identity
33×add-cube-cbrt
12×times-frac
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×associate-*r/ div-inv
3×expm1-log1p-u sub-neg flip3-- fma-neg associate-*l* associate-/r* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
3 → 111
Calls
3 calls:
10.0ms
(- x (/ (* y (- z t)) a))
32.0ms
(* y (- z t))
23.0ms
(/ (* y (- z t)) a)

series170.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(- x (/ (* y (- z t)) a))
44.0ms
(* y (- z t))
55.0ms
(/ (* y (- z t)) a)

simplify1.4s

Counts
120 → 120
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02242333
15721868
226541517
done50001441

prune441.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ (- t z) a) y) x)
0.0b
(/ (- t z) a)
6.6b
(* (/ (- t z) a) y)

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*l*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×expm1-log1p-u associate-*r* associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- fma-def frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 94
Calls
3 calls:
20.0ms
(+ (* (/ (- t z) a) y) x)
25.0ms
(/ (- t z) a)
47.0ms
(* (/ (- t z) a) y)

series177.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(+ (* (/ (- t z) a) y) x)
37.0ms
(/ (- t z) a)
70.0ms
(* (/ (- t z) a) y)

simplify962.0ms

Counts
103 → 103
Iterations

Useful iterations: done (960.0ms)

IterNodesCost
01471069
13701010
21453950
done5000942

prune427.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes507.0ms

Accuracy

77.3% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02243
12643
done2643

end0.0ms

sample1.5s

Algorithm
intervals
Results
534.0ms10599×body80valid