Details

Time bar (total: 4.2s)

sample34.0ms

Algorithm
intervals
Results
21.0ms281×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
1.3b
(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:
6.0ms
(/ y (- z a))
0.0ms
(fma (/ y (- z a)) (- z t) x)

series113.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ y (- z a))
83.0ms
(fma (/ y (- z a)) (- z t) x)

simplify112.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 4 (108.0ms)

IterNodesCost
0170266
1464247
21318247
34468246
45001244

prune157.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* y (/ 1 (- z a)))
1.3b
(fma (* y (/ 1 (- z a))) (- z t) x)

rewrite25.0ms

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:
5.0ms
(/ 1 (- z a))
16.0ms
(* y (/ 1 (- z a)))
0.0ms
(fma (* y (/ 1 (- z a))) (- z t) x)

series147.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- z a))
29.0ms
(* y (/ 1 (- z a)))
81.0ms
(fma (* y (/ 1 (- z a))) (- z t) x)

simplify85.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0288498
11139430
24201384
35002382

prune257.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) (- z a)))
0.0b
(* y (- z t))
10.6b
(/ (* y (- z t)) (- z a))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 times-frac associate-*r* associate-/r* add-log-exp
4×associate-*r/
3×expm1-log1p-u flip3-- fma-def associate-*l* flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
2×cbrt-undiv sub-neg div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 94
Calls
3 calls:
13.0ms
(+ x (/ (* y (- z t)) (- z a)))
11.0ms
(* y (- z t))
14.0ms
(/ (* y (- z t)) (- z a))

series194.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(+ x (/ (* y (- z t)) (- z a)))
41.0ms
(* y (- z t))
68.0ms
(/ (* y (- z t)) (- z a))

simplify64.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0425660
11856494
25001492

prune241.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z a))
0.5b
(cbrt (- z a))
0.5b
(cbrt (- z a))
7.5b
(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
60×*-un-lft-identity
50×times-frac
46×associate-*r*
42×cbrt-prod
28×add-cube-cbrt
25×add-exp-log
20×cbrt-div
18×add-cbrt-cube
16×distribute-lft-out-- difference-of-squares
15×associate-*l*
10×flip3-- associate-/r/ flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 144
Calls
4 calls:
2.0ms
(cbrt (- z a))
2.0ms
(cbrt (- z a))
2.0ms
(cbrt (- z a))
70.0ms
(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

series617.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(cbrt (- z a))
167.0ms
(cbrt (- z a))
163.0ms
(cbrt (- z a))
124.0ms
(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

simplify96.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
06541634
131191481
250011416

prune558.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes288.0ms

Accuracy

77.3% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02618
12618

end0.0ms

sample971.0ms

Algorithm
intervals
Results
696.0ms8733×body80valid
0.0ms1×body1280valid