Details

Time bar (total: 4.7s)

sample27.0ms

Algorithm
intervals
Results
8.0ms235×body80valid
2.0ms10×body1280valid
1.0ms12×body640valid
1.0ms14×body320valid
1.0ms14×body160valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (16.0ms)

IterNodesCost
0226
1526
21116
32136
45175
510515
620555
732805
850025

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
12.4b
(fma (/ y (- a t)) (- t z) (+ x y))

rewrite8.0ms

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:
6.0ms
(/ y (- a t))
0.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

series121.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ y (- a t))
89.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

simplify53.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0170278
1468257
21400257
35002257

prune201.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- a t))
4.4b
(+ (* (/ y (- a t)) (- t z)) (+ x y))
8.7b
(* (/ 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:
6.0ms
(/ y (- a t))
19.0ms
(+ (* (/ y (- a t)) (- t z)) (+ x y))
28.0ms
(* (/ y (- a t)) (- t z))

series307.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ y (- a t))
107.0ms
(+ (* (/ y (- a t)) (- t z)) (+ x y))
165.0ms
(* (/ y (- a t)) (- t z))

simplify116.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
08591392
140161146
250011146

prune571.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 6.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) (- a t))
0.6b
(* y (/ (- t z) (- a t)))
2.9b
(+ (* y (/ (- t z) (- a t))) (+ x y))

rewrite61.0ms

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:
15.0ms
(/ (- t z) (- a t))
25.0ms
(* y (/ (- t z) (- a t)))
15.0ms
(+ (* y (/ (- t z) (- a t))) (+ x y))

series271.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (- t z) (- a t))
74.0ms
(* y (/ (- t z) (- a t)))
149.0ms
(+ (* y (/ (- t z) (- a t))) (+ x y))

simplify74.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0529835
12239790
25002788

prune413.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 3.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- t z) (/ 1 (- a t)))
0.6b
(* y (* (- t z) (/ 1 (- a t))))
4.9b
(+ (* y (* (- t z) (/ 1 (- a t)))) (+ x y))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r/ associate-*r*
20×add-cbrt-cube
13×prod-exp
12×pow1 frac-add
10×flip3-- flip--
9×add-log-exp
8×frac-times associate-*l* associate-*l/ distribute-lft-out-- difference-of-squares
7×flip3-+ cbrt-unprod flip-+
6×div-exp
5×associate-/r*
4×expm1-log1p-u pow-prod-down associate-/r/ un-div-inv log1p-expm1-u
3×cbrt-undiv rec-exp 1-exp sum-log associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative associate-+r+ pow-flip fma-def frac-2neg clear-num inv-pow
Counts
4 → 153
Calls
4 calls:
6.0ms
(/ 1 (- a t))
25.0ms
(* (- t z) (/ 1 (- a t)))
30.0ms
(* y (* (- t z) (/ 1 (- a t))))
31.0ms
(+ (* y (* (- t z) (/ 1 (- a t)))) (+ x y))

series310.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ 1 (- a t))
50.0ms
(* (- t z) (/ 1 (- a t)))
69.0ms
(* y (* (- t z) (/ 1 (- a t))))
153.0ms
(+ (* y (* (- t z) (/ 1 (- a t)))) (+ x y))

simplify114.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
07541108
13636969
25003965

prune472.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 3.4b

regimes450.0ms

Accuracy

34.3% (5.5b remaining)

Error of 8.6b against oracle of 3.1b and baseline of 11.4b

bsearch100.0ms

Steps
ItersRangePoint
8
1.4221983697485953e-93
4.860604208151661e-91
8.232213477554133e-92
8
-1.2174954204274436e-167
-9.750906339755104e-171
-8.94712349400521e-168

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0309
1309

end0.0ms

sample714.0ms

Algorithm
intervals
Results
261.0ms7365×body80valid
57.0ms460×body640valid
45.0ms287×body1280valid
39.0ms383×body320valid
17.0ms223×body160valid
4.0ms21×body2560valid