Details

Time bar (total: 29.5s)

sample36.0ms

Algorithm
intervals
Results
11.0ms258×body80valid
2.0ms17×body320valid
1.0ms6×body1280valid
1.0ms7×body640valid
1.0ms7×body160valid

simplify9.9s

Counts
1 → 1
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
01113
12013
24513
311612
432212
576612
6155512
7287312
8476112
done500012

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.8b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
3.1b
(fma (/ (- y z) (- a z)) (- t x) x)

rewrite68.0ms

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:
64.0ms
(/ (- y z) (- a z))
1.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

series282.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(/ (- y z) (- a z))
176.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

simplify2.0s

Counts
70 → 70
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0116918
1266890
2653838
31707834
done5001830

prune375.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.2b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y z) (- a z))
1.2b
(* (/ (- y z) (- a z)) (- t x))
2.3b
(+ (* (/ (- y z) (- a z)) (- t x)) x)

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
102×add-sqr-sqrt
97×*-un-lft-identity
51×add-cube-cbrt times-frac
36×prod-diff
31×associate-*l*
23×distribute-lft-out-- difference-of-squares
22×distribute-rgt-in associate-+l+ distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*r* associate-/r* flip-- associate-/l* add-log-exp
4×sub-neg associate-/r/
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 170
Calls
3 calls:
33.0ms
(/ (- y z) (- a z))
130.0ms
(* (/ (- y z) (- a z)) (- t x))
43.0ms
(+ (* (/ (- y z) (- a z)) (- t x)) x)

series992.0ms

Counts
3 → 9
Calls
3 calls:
103.0ms
(/ (- y z) (- a z))
532.0ms
(* (/ (- y z) (- a z)) (- t x))
357.0ms
(+ (* (/ (- y z) (- a z)) (- t x)) x)

simplify1.6s

Counts
179 → 179
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02553085
16652718
219552494
done50012468

prune781.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.2b
(/ 1 (/ (- a z) (- y z)))
1.2b
(* (/ 1 (/ (- a z) (- y z))) (- t x))
2.3b
(+ (* (/ 1 (/ (- a z) (- y z))) (- t x)) x)

rewrite357.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
362×add-sqr-sqrt
350×*-un-lft-identity
182×add-cube-cbrt
98×associate-*l*
83×distribute-lft-out-- difference-of-squares
36×add-exp-log prod-diff associate-/r*
22×distribute-rgt-in associate-+l+ distribute-lft-in
20×add-cbrt-cube
18×associate-/r/
15×div-exp
11×flip3-- flip--
10×div-inv
8×associate-/l*
7×pow1 cbrt-undiv prod-exp
6×add-log-exp
5×associate-*r* unswap-sqr
4×expm1-log1p-u sub-neg rec-exp 1-exp log1p-expm1-u
3×cbrt-unprod
2×frac-times frac-2neg associate-*r/ clear-num associate-/l/
1×+-commutative pow-flip fma-def flip3-+ div-sub pow-prod-down associate-*l/ sum-log *-commutative flip-+ inv-pow
Counts
4 → 396
Calls
4 calls:
41.0ms
(/ (- a z) (- y z))
49.0ms
(/ 1 (/ (- a z) (- y z)))
142.0ms
(* (/ 1 (/ (- a z) (- y z))) (- t x))
90.0ms
(+ (* (/ 1 (/ (- a z) (- y z))) (- t x)) x)

series1.2s

Counts
4 → 12
Calls
4 calls:
72.0ms
(/ (- a z) (- y z))
233.0ms
(/ 1 (/ (- a z) (- y z)))
505.0ms
(* (/ 1 (/ (- a z) (- y z))) (- t x))
384.0ms
(+ (* (/ 1 (/ (- a z) (- y z))) (- t x)) x)

simplify2.8s

Counts
408 → 408
Iterations

Useful iterations: done (2.8s)

IterNodesCost
04637468
111526242
230715579
done50005477

prune1.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.2b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- y z))
1.1b
(/ (- t x) (/ (- a z) (- y z)))
2.3b
(+ (/ (- t x) (/ (- a z) (- y z))) x)

rewrite465.0ms

Algorithm
rewrite-expression-head
Rules
610×times-frac
572×*-un-lft-identity
570×add-sqr-sqrt
200×add-cube-cbrt
185×distribute-lft-out-- difference-of-squares
160×fma-def
36×associate-/r*
26×associate-/r/
14×flip3-- flip-- 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×frac-2neg clear-num
1×+-commutative associate-+l- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 440
Calls
3 calls:
36.0ms
(/ (- a z) (- y z))
67.0ms
(/ (- t x) (/ (- a z) (- y z)))
285.0ms
(+ (/ (- t x) (/ (- a z) (- y z))) x)

series670.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(/ (- a z) (- y z))
322.0ms
(/ (- t x) (/ (- a z) (- y z)))
261.0ms
(+ (/ (- t x) (/ (- a z) (- y z))) x)

simplify1.9s

Counts
449 → 449
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03606052
110235695
236935544
done50005542

prune1.7s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.2b

regimes345.0ms

Accuracy

0% (4.1b remaining)

Error of 7.5b against oracle of 3.4b and baseline of 7.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01221
done1221

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.2s7750×body80valid
148.0ms445×body640valid
78.0ms267×body1280valid
74.0ms442×body320valid
30.0ms255×body160valid
5.0ms14×body2560valid