Details

Time bar (total: 18.5s)

sample49.0ms

Algorithm
intervals
Results
21.0ms345×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 5 (82.0ms)

IterNodesCost
099
1169
2329
3719
41739
54118
615318
done50008

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

2.7b
(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:
1.0ms
(fma (/ y a) (- t z) x)

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(fma (/ y a) (- t z) x)

simplify2.0s

Counts
13 → 13
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
024154
141154
294138
3288123
42297123
done5000123

prune47.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (- t z) (/ a y)) x)
5.6b
(/ (- t z) (/ a y))

rewrite183.0ms

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:
127.0ms
(+ (/ (- t z) (/ a y)) x)
36.0ms
(/ (- t z) (/ a y))

series136.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(+ (/ (- t z) (/ a y)) x)
61.0ms
(/ (- t z) (/ a y))

simplify1.3s

Counts
194 → 194
Iterations

Useful iterations: 2 (401.0ms)

IterNodesCost
02241920
16751800
231821697
done50001697

prune651.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 1 (/ (/ a y) (- t z))) x)
0.4b
(/ 1 (/ (/ a y) (- t z)))
5.4b
(/ (/ a y) (- t z))

rewrite373.0ms

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:
235.0ms
(+ (/ 1 (/ (/ a y) (- t z))) x)
51.0ms
(/ 1 (/ (/ a y) (- t z)))
30.0ms
(/ (/ a y) (- t z))

series450.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(+ (/ 1 (/ (/ a y) (- t z))) x)
58.0ms
(/ 1 (/ (/ a y) (- t z)))
335.0ms
(/ (/ a y) (- t z))

simplify1.0s

Counts
658 → 658
Iterations

Useful iterations: done (984.0ms)

IterNodesCost
05848603
116817467
done50007134

prune1.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
2.5b
(* (* (cbrt (- t z)) (cbrt (- t z))) (/ 1 (/ (/ a y) (cbrt (- t z)))))
3.3b
(/ (/ a y) (cbrt (- t z)))

rewrite429.0ms

Algorithm
rewrite-expression-head
Rules
1065×times-frac
595×add-sqr-sqrt
572×*-un-lft-identity
457×add-cube-cbrt
335×associate-*r*
279×cbrt-prod
83×add-exp-log
55×distribute-lft-out-- difference-of-squares
38×div-inv
36×cbrt-div
33×div-exp
30×prod-exp
27×add-cbrt-cube
18×flip3-- flip--
16×frac-times
15×cbrt-undiv
13×associate-/l*
12×associate-*l/ cbrt-unprod
11×unswap-sqr
9×pow1 associate-/r/
8×associate-/r*
6×rec-exp 1-exp
5×associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down
2×pow1/3
1×frac-2neg associate-*l* clear-num un-div-inv *-commutative associate-/l/
Counts
4 → 583
Calls
4 calls:
6.0ms
(cbrt (- t z))
7.0ms
(cbrt (- t z))
285.0ms
(* (* (cbrt (- t z)) (cbrt (- t z))) (/ 1 (/ (/ a y) (cbrt (- t z)))))
39.0ms
(/ (/ a y) (cbrt (- t z)))

series697.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(cbrt (- t z))
247.0ms
(cbrt (- t z))
57.0ms
(* (* (cbrt (- t z)) (cbrt (- t z))) (/ 1 (/ (/ a y) (cbrt (- t z)))))
162.0ms
(/ (/ a y) (cbrt (- t z)))

simplify3.3s

Counts
595 → 595
Iterations

Useful iterations: done (3.3s)

IterNodesCost
0103013651
1399412148
done500111062

prune2.6s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes446.0ms

Accuracy

76.2% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.2b

bsearch3.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02146
12446
done2446

end0.0ms

sample1.6s

Algorithm
intervals
Results
692.0ms10760×body80valid