Details

Time bar (total: 3.9s)

sample33.0ms

Algorithm
intervals
Results
15.0ms251×body80valid
2.0ms11×body1280valid
1.0ms7×body640valid
1.0ms7×body320valid
1.0ms8×body160valid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (15.0ms)

IterNodesCost
0226
1526
21116
32136
45175
510515
620555
732805
850025

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
9.2b
(fma (/ y (- a t)) (- t z) (+ x y))

rewrite7.0ms

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:
5.0ms
(/ y (- a t))
0.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

series115.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ y (- a t))
81.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

simplify52.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0170278
1468257
21400257
35002257

prune177.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.3b
(* y (/ 1 (- a t)))
9.1b
(fma (* y (/ 1 (- a t))) (- t z) (+ x y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r*
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp flip-- cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 99
Calls
3 calls:
6.0ms
(/ 1 (- a t))
17.0ms
(* y (/ 1 (- a t)))
0.0ms
(fma (* y (/ 1 (- a t))) (- t z) (+ x y))

series148.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ 1 (- a t))
29.0ms
(* y (/ 1 (- a t)))
81.0ms
(fma (* y (/ 1 (- a t))) (- t z) (+ x y))

simplify77.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0288510
11143440
24305394
35001391

prune279.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- a t))
2.8b
(+ (* (/ y (- a t)) (- t z)) (+ x y))
11.6b
(* (/ y (- a t)) (- t z))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
63×*-un-lft-identity
47×add-cube-cbrt
36×prod-diff
31×times-frac
22×distribute-rgt-in associate-+l+ distribute-lft-in
21×associate-*l*
10×add-exp-log frac-add add-cbrt-cube
8×flip3-- flip-- distribute-lft-out-- add-log-exp difference-of-squares
6×frac-times flip3-+ associate-*r/ flip-+
5×pow1 associate-*r* associate-/r*
4×sub-neg associate-/r/
3×expm1-log1p-u associate-*l/ sum-log log1p-expm1-u associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative associate-+r+ fma-def frac-2neg pow-prod-down clear-num *-commutative
Counts
3 → 157
Calls
3 calls:
5.0ms
(/ y (- a t))
18.0ms
(+ (* (/ y (- a t)) (- t z)) (+ x y))
26.0ms
(* (/ y (- a t)) (- t z))

series290.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ y (- a t))
104.0ms
(+ (* (/ y (- a t)) (- t z)) (+ x y))
153.0ms
(* (/ y (- a t)) (- t z))

simplify101.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
08591392
140161146
250011146

prune481.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) (- a t))
1.3b
(* y (/ (- t z) (- a t)))
2.3b
(+ (* y (/ (- t z) (- a t))) (+ x y))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
8×add-log-exp
5×pow1 associate-/r* associate-/l*
4×associate-/r/
3×expm1-log1p-u flip3-- associate-*r/ associate-*l* sum-log flip-- log1p-expm1-u
2×cbrt-undiv flip3-+ div-exp frac-add prod-exp cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×+-commutative associate-+r+ fma-def frac-2neg div-sub pow-prod-down clear-num *-commutative
Counts
3 → 124
Calls
3 calls:
12.0ms
(/ (- t z) (- a t))
24.0ms
(* y (/ (- t z) (- a t)))
16.0ms
(+ (* y (/ (- t z) (- a t))) (+ x y))

series244.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (- t z) (- a t))
62.0ms
(* y (/ (- t z) (- a t)))
135.0ms
(+ (* y (/ (- t z) (- a t))) (+ x y))

simplify65.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0529835
12239790
25002788

prune330.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 2.1b

regimes185.0ms

Accuracy

34.3% (5.3b remaining)

Error of 8.5b against oracle of 3.1b and baseline of 11.2b

bsearch79.0ms

Steps
ItersRangePoint
6
2.7385831801772474e+93
1.275967487432061e+94
9.725709575050152e+93
7
-7.025925476699672e+159
-3.445011587210566e+158
-9.74130219549787e+158

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0258
1258

end0.0ms

sample931.0ms

Algorithm
intervals
Results
449.0ms7413×body80valid
81.0ms436×body640valid
54.0ms405×body320valid
49.0ms234×body1280valid
24.0ms244×body160valid
7.0ms15×body2560valid