Details

Time bar (total: 4.2s)

sample20.0ms

Algorithm
intervals
Results
8.0ms275×body80valid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0185
1335
2614
31134
41734
52324
62804
73534
84854
96444
1010954
1113194
1214914
1315134
1415134

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
2.1b
(fma (/ y (- z a)) (- 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 (- z a))
0.0ms
(fma (/ y (- z a)) (- z t) x)

series116.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ y (- z a))
83.0ms
(fma (/ y (- z a)) (- z t) x)

simplify116.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 4 (111.0ms)

IterNodesCost
0170266
1464247
21318247
34468246
45001244

prune176.0ms

Filtered
55 candidates to 43 candidates (78.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ y (- z a)) (- z t)) x)
0.0b
(/ y (- z a))
10.4b
(* (/ y (- z a)) (- z t))

rewrite54.0ms

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 add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*r* associate-/r* add-log-exp
4×sub-neg flip3-- associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 145
Calls
3 calls:
13.0ms
(+ (* (/ y (- z a)) (- z t)) x)
6.0ms
(/ y (- z a))
28.0ms
(* (/ y (- z a)) (- z t))

series257.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(+ (* (/ y (- z a)) (- z t)) x)
30.0ms
(/ y (- z a))
130.0ms
(* (/ y (- z a)) (- z t))

simplify72.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05751121
12245888
25003882

prune422.0ms

Filtered
154 candidates to 109 candidates (70.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y (/ (- z t) (- z a))) x)
0.0b
(/ (- z t) (- z a))
1.4b
(* y (/ (- z t) (- z a)))

rewrite53.0ms

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
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 120
Calls
3 calls:
9.0ms
(+ (* y (/ (- z t) (- z a))) x)
13.0ms
(/ (- z t) (- z a))
26.0ms
(* y (/ (- z t) (- z a)))

series212.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(+ (* y (/ (- z t) (- z a))) x)
51.0ms
(/ (- z t) (- z a))
69.0ms
(* y (/ (- z t) (- z a)))

simplify61.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0437778
11687734
25002734

prune335.0ms

Filtered
129 candidates to 90 candidates (69.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ 1 (/ (- z a) y)) (- z t)) x)
0.0b
(/ (- z a) y)
0.8b
(/ 1 (/ (- z a) y))
10.4b
(* (/ 1 (/ (- z a) y)) (- z t))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
240×times-frac
208×add-sqr-sqrt
196×*-un-lft-identity
142×add-cube-cbrt
62×associate-*l*
36×add-exp-log prod-diff
26×distribute-lft-out-- difference-of-squares
22×distribute-rgt-in associate-+l+ distribute-lft-in associate-/r*
20×add-cbrt-cube
15×div-exp
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×flip3-- flip-- cbrt-unprod
2×frac-times frac-2neg associate-*r/ clear-num associate-/r/ associate-/l/
1×+-commutative pow-flip fma-def flip3-+ div-sub pow-prod-down associate-*l/ sum-log *-commutative flip-+ inv-pow
Counts
4 → 298
Calls
4 calls:
18.0ms
(+ (* (/ 1 (/ (- z a) y)) (- z t)) x)
12.0ms
(/ (- z a) y)
10.0ms
(/ 1 (/ (- z a) y))
47.0ms
(* (/ 1 (/ (- z a) y)) (- z t))

series439.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(+ (* (/ 1 (/ (- z a) y)) (- z t)) x)
29.0ms
(/ (- z a) y)
79.0ms
(/ 1 (/ (- z a) y))
211.0ms
(* (/ 1 (/ (- z a) y)) (- z t))

simplify124.0ms

Algorithm
egg-herbie
Counts
310 → 310
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
09852402
146451950
250011949

prune815.0ms

Filtered
310 candidates to 203 candidates (65.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample521.0ms

Algorithm
intervals
Results
267.0ms8723×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid