Details

Time bar (total: 3.1s)

sample21.0ms

Algorithm
intervals
Results
9.0ms281×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0175
1325
2604
31124
41724
52314
62794
73524
84854
96484
1010744
1113584
1213994
1313994

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
4.1b
(fma (/ y (- a t)) (- z t) x)

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

series225.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ y (- a t))
190.0ms
(fma (/ y (- a t)) (- z t) x)

simplify108.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0166265
1444246
21278244
34359243
45001243

prune161.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* y (/ 1 (- a t)))
4.1b
(fma (* y (/ 1 (- a t))) (- z t) x)

rewrite21.0ms

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))
11.0ms
(* y (/ 1 (- a t)))
1.0ms
(fma (* y (/ 1 (- a t))) (- z t) x)

series263.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ 1 (- a t))
31.0ms
(* y (/ 1 (- a t)))
189.0ms
(fma (* y (/ 1 (- a t))) (- z t) x)

simplify74.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0284497
11119429
24119381
35001381

prune248.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
0.5b
(/ 1 (/ (- a t) y))
4.1b
(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
101×add-sqr-sqrt *-un-lft-identity
69×add-cube-cbrt
22×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
10×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×flip3-- pow-flip div-sub associate-/r/ flip-- fma-udef inv-pow
Counts
3 → 152
Calls
3 calls:
7.0ms
(/ (- a t) y)
9.0ms
(/ 1 (/ (- a t) y))
1.0ms
(fma (/ 1 (/ (- a t) y)) (- z t) x)

series305.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (- a t) y)
78.0ms
(/ 1 (/ (- a t) y))
199.0ms
(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04621073
11927947
25001836

prune323.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
4.1b
(fma (* 1 (/ y (- a t))) (- z t) x)

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:
5.0ms
(/ y (- a t))
1.0ms
(fma (* 1 (/ y (- a t))) (- z t) x)

series220.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ y (- a t))
191.0ms
(fma (* 1 (/ y (- a t))) (- z t) x)

simplify49.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0170277
1522255
21598253
35001253

prune157.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes188.0ms

Accuracy

91% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02518
12518

end0.0ms

sample541.0ms

Algorithm
intervals
Results
281.0ms8710×body80valid
0.0ms1×body160valid